56960709120 has 240 divisors, whose sum is σ = 225453159360. Its totient is φ = 13019553792.

The previous prime is 56960709097. The next prime is 56960709173. The reversal of 56960709120 is 2190706965.

It is a happy number.

56960709120 is a `hidden beast` number, since 569 + 6 + 0 + 70 + 9 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15310 + ... + 337869.

It is an arithmetic number, because the mean of its divisors is an integer number (939388164).

Almost surely, 2^56960709120 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 56960709120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112726579680).

56960709120 is an abundant number, since it is smaller than the sum of its proper divisors (168492450240).

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

56960709120 is a wasteful number, since it uses less digits than its factorization.

56960709120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353215 (or 353196 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 56960709120 in words is "fifty-six billion, nine hundred sixty million, seven hundred nine thousand, one hundred twenty".