56616566320 has 160 divisors (see below), whose sum is σ = 145001433600. Its totient is φ = 20462948352.

The previous prime is 56616566287. The next prime is 56616566341. The reversal of 56616566320 is 2366561665.

56616566320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (46).

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, 13247704 + ... + 13251976.

It is an arithmetic number, because the mean of its divisors is an integer number (906258960).

Almost surely, 2^56616566320 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 56616566320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72500716800).

56616566320 is an abundant number, since it is smaller than the sum of its proper divisors (88384867280).

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

56616566320 is a wasteful number, since it uses less digits than its factorization.

56616566320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4707 (or 4701 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 46.

The spelling of 56616566320 in words is "fifty-six billion, six hundred sixteen million, five hundred sixty-six thousand, three hundred twenty".