56705444832960 has 4480 divisors, whose sum is σ = 267419388082176. Its totient is φ = 11067728855040.

The previous prime is 56705444832931. The next prime is 56705444832977. The reversal of 56705444832960 is 6923844450765.

56705444832960 is a `hidden beast` number, since 5 + 6 + 7 + 0 + 544 + 4 + 8 + 3 + 29 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 361181177202 + ... + 361181177358.

Almost surely, 2^{56705444832960} 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 56705444832960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133709694041088).

56705444832960 is an abundant number, since it is smaller than the sum of its proper divisors (210713943249216).

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

56705444832960 is a wasteful number, since it uses less digits than its factorization.

56705444832960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 174182400, while the sum is 63.

The spelling of 56705444832960 in words is "fifty-six trillion, seven hundred five billion, four hundred forty-four million, eight hundred thirty-two thousand, nine hundred sixty".