56580040755 has 128 divisors (see below), whose sum is σ = 120003379200. Its totient is φ = 24748416000.

The previous prime is 56580040721. The next prime is 56580040757. The reversal of 56580040755 is 55704008565.

56580040755 is a `hidden beast` number, since 565 + 80 + 0 + 4 + 0 + 7 + 5 + 5 = 666.

It is not a de Polignac number, because 56580040755 - 2¹³ = 56580032563 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 56580040755.

It is not an unprimeable number, because it can be changed into a prime (56580040757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2596405 + ... + 2618105.

It is an arithmetic number, because the mean of its divisors is an integer number (937526400).

Almost surely, 2^56580040755 is an apocalyptic number.

56580040755 is an abundant number, since it is smaller than the sum of its proper divisors (63423338445).

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

56580040755 is a wasteful number, since it uses less digits than its factorization.

56580040755 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21842 (or 21836 counting only the distinct ones).

The product of its (nonzero) digits is 840000, while the sum is 45.

The spelling of 56580040755 in words is "fifty-six billion, five hundred eighty million, forty thousand, seven hundred fifty-five".