11131176256 has 56 divisors (see below), whose sum is σ = 22868778240. Its totient is φ = 5369280000.

The previous prime is 11131176233. The next prime is 11131176271. The reversal of 11131176256 is 65267113111.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4362181 + ... + 4364731.

It is an arithmetic number, because the mean of its divisors is an integer number (408371040).

Almost surely, 2^11131176256 is an apocalyptic number.

11131176256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11131176256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11434389120).

11131176256 is an abundant number, since it is smaller than the sum of its proper divisors (11737601984).

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

11131176256 is a wasteful number, since it uses less digits than its factorization.

11131176256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4943 (or 4933 counting only the distinct ones).

The product of its digits is 7560, while the sum is 34.

Adding to 11131176256 its reverse (65267113111), we get a palindrome (76398289367).

The spelling of 11131176256 in words is "eleven billion, one hundred thirty-one million, one hundred seventy-six thousand, two hundred fifty-six".