56580128037 has 12 divisors (see below), whose sum is σ = 81732167244. Its totient is φ = 37717632000.

The previous prime is 56580128029. The next prime is 56580128069. The reversal of 56580128037 is 73082108565.

56580128037 is a `hidden beast` number, since 56 + 580 + 12 + 8 + 0 + 3 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 28277449281 + 28302678756 = 168159^2 + 168234^2 .

It is not a de Polignac number, because 56580128037 - 2³ = 56580128029 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 56580127983 and 56580128001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56580128537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52438 + ... + 340455.

It is an arithmetic number, because the mean of its divisors is an integer number (6811013937).

Almost surely, 2^56580128037 is an apocalyptic number.

It is an amenable number.

56580128037 is a deficient number, since it is larger than the sum of its proper divisors (25152039207).

56580128037 is a wasteful number, since it uses less digits than its factorization.

56580128037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408900 (or 408897 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 56580128037 in words is "fifty-six billion, five hundred eighty million, one hundred twenty-eight thousand, thirty-seven".