Paclitaxel Albumin-Stabilized Nanoparticle Formulation After Cisplatin-Based Chemotherapy and Surgery in Treating Patients With High-Risk Bladder Cancer

Inclusion Criteria: * Histological confirmation of urothelial carcinoma and high risk residual disease after neoadjuvant chemotherapy (NAC) and cystectomy as defined by post-operative pathological pT4 or N1-3 disease, or progressive disease during NAC (NAC include methotrexate, vinblastin, doxorubicin and cisplatin \[MVAC\], dose dense MVAC, gemcitabine cisplatin, or gemcitabine carboplatin); minor histologic variants (\< 50%) are acceptable if urothelial carcinoma is predominant variant * Post-operative computed tomography (CT) scan of the chest, abdomen, and pelvis =\< 30 days prior to registration demonstrating no evidence of residual or recurrent malignancy * Life expectancy \>= 12 weeks * Eastern Cooperative Oncology Group (ECOG) performance status (PS) 0, 1 or 2 * Absolute neutrophil count (ANC) \>= 1500/mm\^3 * Platelet count \>= 100,000/mm\^3 * Hemoglobin \>= 9.0 g/dL * Total bilirubin =\< 1.5 mg/dL * Aspartate aminotransferase (AST) and alanine aminotransferase (ALT) =\< 2.5 x ULN * Alkaline phosphatase =\< 2.5 x upper limit of normal (ULN) * Creatinine =\< 1.5 mg/dL or creatinine clearance \>= 40mL/mon (using Cockcroft-Gault formula) * Females of child-bearing potential, defined as a sexually mature woman who (1) has not undergone hysterectomy or bilateral oophorectomy or (2) has not been naturally postmenopausal for at least 24 consecutive months must: * Either commit to true abstinence from heterosexual contact (which must be reviewed on a monthly basis), or agree to use, and be able to comply with, effective contraception without interruption, 28 days prior to starting intraperitoneal (IP) therapy (including dose interruptions), and while on study medication or for a longer period if required by local regulations following the last dose of IP * Negative serum pregnancy test done =\< 7 days prior to registration and agree to ongoing pregnancy testing during the course of the study, and after the end of study therapy; this applies even if the subject practices true abstinence from heterosexual contact * Male subjects must practice true abstinence or agree to use a condom during sexual contact with a pregnant female or a female of childbearing potential while participating in the study, during those interruptions and for 6 months following IP discontinuation, even if he has undergone a successful vasectomy * Patients must have =\< grade 2 pre-existing peripheral neuropathy (per Common Terminology Criteria for Adverse Events \[CTCAE\] v4.0) * Ability to complete questionnaire(s), in English, by themselves or with assistance * Provide informed written consent * Willing to provide blood samples for correlative research purposes Exclusion Criteria: * Radiographic evidence measurable of residual or metastatic disease after surgery * Any of the following because this study involves an agent that has known genotoxic, mutagenic and teratogenic effects to a developing fetus or nursing child: * Pregnant women * Nursing women * Men or women of childbearing potential who are unwilling to employ adequate contraception * Co-morbid systemic illnesses or other severe concurrent disease which, in the judgment of the investigator, would make the patient inappropriate for entry into this study or interfere significantly with the proper assessment of safety and toxicity of the prescribed regimens * Immunocompromised patients and patients known to be human immunodeficiency virus (HIV) positive and currently receiving antiretroviral therapy; NOTE: Patients known to be HIV positive, but without clinical evidence of an immunocompromised state, are eligible for this trial * Uncontrolled intercurrent illness including, but not limited to, ongoing or active infection, symptomatic congestive heart failure, unstable angina pectoris, cardiac arrhythmia, or psychiatric illness/social situations that would limit compliance with study requirements * Receiving any other investigational agent which would be considered as a treatment for the primary neoplasm * Other active malignancy =\< 3 years prior to registration except for locally curable cancers that have been in apparently cured, such as basal or squamous cell skin cancer, prostate cancer without evidence of prostate-specific antigen (PSA) progression or carcinoma in situ such as the following: gastric, cervix, colon, melanoma or breast for example * History of myocardial infarction =\< 6 months, or congestive heart failure requiring use of ongoing maintenance therapy for life-threatening ventricular arrhythmias * Pure small cell histologic variant or other pure non-urothelial carcinomas