56815792320 has 224 divisors, whose sum is σ = 215124231168. Its totient is φ = 12421804032.

The previous prime is 56815792303. The next prime is 56815792339. The reversal of 56815792320 is 2329751865.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 56815792320.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29239 + ... + 338358.

It is an arithmetic number, because the mean of its divisors is an integer number (960376032).

Almost surely, 2^56815792320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56815792320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107562115584).

56815792320 is an abundant number, since it is smaller than the sum of its proper divisors (158308438848).

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

56815792320 is a wasteful number, since it uses less digits than its factorization.

56815792320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367647 (or 367637 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 48.

The spelling of 56815792320 in words is "fifty-six billion, eight hundred fifteen million, seven hundred ninety-two thousand, three hundred twenty".