56905788800 has 192 divisors, whose sum is σ = 161105164800. Its totient is φ = 19456174080.

The previous prime is 56905788799. The next prime is 56905788853. The reversal of 56905788800 is 888750965.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8486249 + ... + 8492951.

It is an arithmetic number, because the mean of its divisors is an integer number (839089400).

Almost surely, 2^56905788800 is an apocalyptic number.

56905788800 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 56905788800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80552582400).

56905788800 is an abundant number, since it is smaller than the sum of its proper divisors (104199376000).

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

56905788800 is a wasteful number, since it uses less digits than its factorization.

56905788800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7113 (or 7096 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 56.

The spelling of 56905788800 in words is "fifty-six billion, nine hundred five million, seven hundred eighty-eight thousand, eight hundred".