56945584080 has 1920 divisors, whose sum is σ = 274364153856. Its totient is φ = 10218700800.

The previous prime is 56945584067. The next prime is 56945584153. The reversal of 56945584080 is 8048554965.

56945584080 is a `hidden beast` number, since 5 + 6 + 9 + 4 + 558 + 4 + 0 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 802050445 + ... + 802050515.

Almost surely, 2^56945584080 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 56945584080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137182076928).

56945584080 is an abundant number, since it is smaller than the sum of its proper divisors (217418569776).

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

56945584080 is a wasteful number, since it uses less digits than its factorization.

56945584080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 56945584080 in words is "fifty-six billion, nine hundred forty-five million, five hundred eighty-four thousand, eighty".