56957090400 has 1296 divisors, whose sum is σ = 255281317200. Its totient is φ = 11867627520.

The previous prime is 56957090363. The next prime is 56957090417. The reversal of 56957090400 is 409075965.

It is a happy number.

56957090400 is a `hidden beast` number, since 5 + 6 + 95 + 70 + 90 + 400 = 666.

It is a super-2 number, since 2×56957090400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 194392654 + ... + 194392946.

It is an arithmetic number, because the mean of its divisors is an integer number (196976325).

Almost surely, 2^56957090400 is an apocalyptic number.

56957090400 is a gapful number since it is divisible by the number (50) 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 56957090400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127640658600).

56957090400 is an abundant number, since it is smaller than the sum of its proper divisors (198324226800).

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

56957090400 is a wasteful number, since it uses less digits than its factorization.

56957090400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 56957090400 in words is "fifty-six billion, nine hundred fifty-seven million, ninety thousand, four hundred".