11577941256 has 256 divisors, whose sum is σ = 36369285120. Its totient is φ = 2995200000.

The previous prime is 11577941233. The next prime is 11577941267. The reversal of 11577941256 is 65214977511.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22222276 + ... + 22222796.

It is an arithmetic number, because the mean of its divisors is an integer number (142067520).

Almost surely, 2^11577941256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11577941256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18184642560).

11577941256 is an abundant number, since it is smaller than the sum of its proper divisors (24791343864).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11577941256 is a wasteful number, since it uses less digits than its factorization.

11577941256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836 (or 832 counting only the distinct ones).

The product of its digits is 529200, while the sum is 48.

The spelling of 11577941256 in words is "eleven billion, five hundred seventy-seven million, nine hundred forty-one thousand, two hundred fifty-six".