56965750800 has 480 divisors, whose sum is σ = 213886310400. Its totient is φ = 12691476480.

The previous prime is 56965750799. The next prime is 56965750841. The reversal of 56965750800 is 805756965.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67896781 + ... + 67897619.

It is an arithmetic number, because the mean of its divisors is an integer number (445596480).

Almost surely, 2^56965750800 is an apocalyptic number.

56965750800 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 56965750800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106943155200).

56965750800 is an abundant number, since it is smaller than the sum of its proper divisors (156920559600).

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

56965750800 is a wasteful number, since it uses less digits than its factorization.

56965750800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1063 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 51.

The spelling of 56965750800 in words is "fifty-six billion, nine hundred sixty-five million, seven hundred fifty thousand, eight hundred".