11475910656 has 512 divisors, whose sum is σ = 41522976000. Its totient is φ = 3057647616.

The previous prime is 11475910613. The next prime is 11475910657. The reversal of 11475910656 is 65601957411.

11475910656 is a `hidden beast` number, since 1 + 1 + 4 + 7 + 591 + 0 + 6 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

It is not an unprimeable number, because it can be changed into a prime (11475910657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105283530 + ... + 105283638.

Almost surely, 2^11475910656 is an apocalyptic number.

11475910656 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 11475910656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20761488000).

11475910656 is an abundant number, since it is smaller than the sum of its proper divisors (30047065344).

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

11475910656 is an equidigital number, since it uses as much as digits as its factorization.

11475910656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 11475910656 in words is "eleven billion, four hundred seventy-five million, nine hundred ten thousand, six hundred fifty-six".