56977240320 has 2016 divisors, whose sum is σ = 279243627264. Its totient is φ = 10749542400.

The previous prime is 56977240301. The next prime is 56977240321. The reversal of 56977240320 is 2304277965.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is not an unprimeable number, because it can be changed into a prime (56977240321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 934053090 + ... + 934053150.

It is an arithmetic number, because the mean of its divisors is an integer number (138513704).

Almost surely, 2^56977240320 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 56977240320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139621813632).

56977240320 is an abundant number, since it is smaller than the sum of its proper divisors (222266386944).

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

56977240320 is a wasteful number, since it uses less digits than its factorization.

56977240320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 56977240320 in words is "fifty-six billion, nine hundred seventy-seven million, two hundred forty thousand, three hundred twenty".