11357672256 has 756 divisors, whose sum is σ = 43257203808. Its totient is φ = 2893418496.

The previous prime is 11357672233. The next prime is 11357672269. The reversal of 11357672256 is 65227675311.

It is a happy number.

11357672256 is a `hidden beast` number, since 1 + 1 + 3 + 576 + 7 + 22 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (756).

Its product of digits (529200) is a multiple of the sum of its prime divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 597772215 + ... + 597772233.

Almost surely, 2^11357672256 is an apocalyptic number.

11357672256 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 11357672256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21628601904).

11357672256 is an abundant number, since it is smaller than the sum of its proper divisors (31899531552).

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

11357672256 is an equidigital number, since it uses as much as digits as its factorization.

11357672256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 48 counting only the distinct ones).

The product of its digits is 529200, while the sum is 45.

The spelling of 11357672256 in words is "eleven billion, three hundred fifty-seven million, six hundred seventy-two thousand, two hundred fifty-six".