56679816960 has 1152 divisors, whose sum is σ = 236239960320. Its totient is φ = 12740198400.

The previous prime is 56679816899. The next prime is 56679816967. The reversal of 56679816960 is 6961897665.

56679816960 is a `hidden beast` number, since 566 + 7 + 9 + 8 + 1 + 6 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56679816967) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 313148070 + ... + 313148250.

It is an arithmetic number, because the mean of its divisors is an integer number (205069410).

Almost surely, 2^56679816960 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 56679816960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118119980160).

56679816960 is an abundant number, since it is smaller than the sum of its proper divisors (179560143360).

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

56679816960 is a wasteful number, since it uses less digits than its factorization.

56679816960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 56679816960 in words is "fifty-six billion, six hundred seventy-nine million, eight hundred sixteen thousand, nine hundred sixty".