56577534048 has 144 divisors (see below), whose sum is σ = 191959634160. Its totient is φ = 16164997632.

The previous prime is 56577534023. The next prime is 56577534077. The reversal of 56577534048 is 84043577565.

56577534048 is a `hidden beast` number, since 5 + 65 + 7 + 7 + 534 + 0 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 56577533985 and 56577534003.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 625861 + ... + 710532.

It is an arithmetic number, because the mean of its divisors is an integer number (1333053015).

Almost surely, 2^56577534048 is an apocalyptic number.

It is an amenable number.

56577534048 is an abundant number, since it is smaller than the sum of its proper divisors (135382100112).

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

56577534048 is a wasteful number, since it uses less digits than its factorization.

56577534048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336426 (or 1336405 counting only the distinct ones).

The product of its (nonzero) digits is 14112000, while the sum is 54.

The spelling of 56577534048 in words is "fifty-six billion, five hundred seventy-seven million, five hundred thirty-four thousand, forty-eight".