56815137600 has 672 divisors, whose sum is σ = 213293431680. Its totient is φ = 13125058560.

The previous prime is 56815137593. The next prime is 56815137601. The reversal of 56815137600 is 673151865.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56815137601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 205108662 + ... + 205108938.

It is an arithmetic number, because the mean of its divisors is an integer number (317400940).

Almost surely, 2^56815137600 is an apocalyptic number.

56815137600 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 56815137600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106646715840).

56815137600 is an abundant number, since it is smaller than the sum of its proper divisors (156478294080).

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

56815137600 is a wasteful number, since it uses less digits than its factorization.

56815137600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The spelling of 56815137600 in words is "fifty-six billion, eight hundred fifteen million, one hundred thirty-seven thousand, six hundred".