56580709689 has 81 divisors (see below), whose sum is σ = 97541543151. Its totient is φ = 31512620160.

The previous prime is 56580709687. The next prime is 56580709709. The reversal of 56580709689 is 98690708565.

The square root of 56580709689 is 237867.

It is a perfect power (a square), and thus also a powerful number.

56580709689 is a `hidden beast` number, since 565 + 8 + 0 + 7 + 0 + 9 + 68 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 42552676089 + 14028033600 = 206283^2 + 118440^2 .

It is not a de Polignac number, because 56580709689 - 2¹ = 56580709687 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (56580709681) 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 80 ways as a sum of consecutive naturals, for example, 234774609 + ... + 234774849.

Almost surely, 2^56580709689 is an apocalyptic number.

56580709689 is the 237867-th square number.

56580709689 is the 118934-th centered octagonal number.

It is an amenable number.

56580709689 is a deficient number, since it is larger than the sum of its proper divisors (40960833462).

56580709689 is an equidigital number, since it uses as much as digits as its factorization.

56580709689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The spelling of 56580709689 in words is "fifty-six billion, five hundred eighty million, seven hundred nine thousand, six hundred eighty-nine".