This randomized phase II trial studies how well androgen receptor antagonist ARN-509 works with or without abiraterone acetate, gonadotropin-releasing hormone agonist, and prednisone in treating patients with high-risk prostate cancer undergoing surgery. Androgen can cause the growth of prostate cancer cells. Hormone therapy using androgen receptor antagonist ARN-509, abiraterone acetate, and gonadotropin-releasing hormone analog (GnRH agonist) may fight prostate cancer by lowering the levels of androgen the body makes. Prednisone may either kill the tumor cells or stop them from dividing. Giving androgen receptor agonist ARN-509 with or without abiraterone acetate, GnRH agonist and prednisone may work better in treating patients with prostate cancer.