56960729280 has 2240 divisors, whose sum is σ = 277579653120. Its totient is φ = 10749542400.

The previous prime is 56960729279. The next prime is 56960729333. The reversal of 56960729280 is 8292706965.

56960729280 is a `hidden beast` number, since 5 + 6 + 9 + 607 + 2 + 9 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1389286060 + ... + 1389286100.

It is an arithmetic number, because the mean of its divisors is an integer number (123919488).

Almost surely, 2^56960729280 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 56960729280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138789826560).

56960729280 is an abundant number, since it is smaller than the sum of its proper divisors (220618923840).

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

56960729280 is a wasteful number, since it uses less digits than its factorization.

56960729280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 56960729280 in words is "fifty-six billion, nine hundred sixty million, seven hundred twenty-nine thousand, two hundred eighty".