56907816960 has 224 divisors, whose sum is σ = 183359584512. Its totient is φ = 15070003200.

The previous prime is 56907816949. The next prime is 56907816971. The reversal of 56907816960 is 6961870965.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (56907816949) and next prime (56907816971).

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 56907816960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18553347 + ... + 18556413.

Almost surely, 2^56907816960 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 56907816960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91679792256).

56907816960 is an abundant number, since it is smaller than the sum of its proper divisors (126451767552).

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

56907816960 is a wasteful number, since it uses less digits than its factorization.

56907816960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3252 (or 3228 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 57.

The spelling of 56907816960 in words is "fifty-six billion, nine hundred seven million, eight hundred sixteen thousand, nine hundred sixty".