56577408680 has 128 divisors (see below), whose sum is σ = 138098973600. Its totient is φ = 20737216512.

The previous prime is 56577408673. The next prime is 56577408761. The reversal of 56577408680 is 8680477565.

56577408680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 908781316 + 55668627364 = 30146^2 + 235942^2 .

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, 66327134 + ... + 66327986.

Almost surely, 2^56577408680 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 56577408680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69049486800).

56577408680 is an abundant number, since it is smaller than the sum of its proper divisors (81521564920).

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

56577408680 is a wasteful number, since it uses less digits than its factorization.

56577408680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1663 (or 1659 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 56.

The spelling of 56577408680 in words is "fifty-six billion, five hundred seventy-seven million, four hundred eight thousand, six hundred eighty".