56609679360 has 384 divisors, whose sum is σ = 196206192000. Its totient is φ = 13851426816.

The previous prime is 56609679349. The next prime is 56609679437. The reversal of 56609679360 is 6397690665.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 56609679360.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91453131 + ... + 91453749.

It is an arithmetic number, because the mean of its divisors is an integer number (510953625).

Almost surely, 2^56609679360 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 56609679360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98103096000).

56609679360 is an abundant number, since it is smaller than the sum of its proper divisors (139596512640).

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

56609679360 is a wasteful number, since it uses less digits than its factorization.

56609679360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 11022480, while the sum is 57.

The spelling of 56609679360 in words is "fifty-six billion, six hundred nine million, six hundred seventy-nine thousand, three hundred sixty".