56484740257920 has 320 divisors, whose sum is σ = 217233916847640. Its totient is φ = 13903935897600.

The previous prime is 56484740257901. The next prime is 56484740257963. The reversal of 56484740257920 is 2975204748465.

56484740257920 is a `hidden beast` number, since 5 + 6 + 484 + 7 + 40 + 25 + 7 + 92 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19558117071936 + 36926623185984 = 4422456^2 + 6076728^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 41233681 + ... + 42581520.

Almost surely, 2^{56484740257920} is an apocalyptic number.

It is an amenable number.

56484740257920 is an abundant number, since it is smaller than the sum of its proper divisors (160749176589720).

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

56484740257920 is a wasteful number, since it uses less digits than its factorization.

56484740257920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83815245 (or 83815224 counting only the distinct ones).

The product of its (nonzero) digits is 135475200, while the sum is 63.

The spelling of 56484740257920 in words is "fifty-six trillion, four hundred eighty-four billion, seven hundred forty million, two hundred fifty-seven thousand, nine hundred twenty".