56658399385665 has 128 divisors (see below), whose sum is σ = 113406537646080. Its totient is φ = 23466451507200.

The previous prime is 56658399385639. The next prime is 56658399385691.

56658399385665 is nontrivially palindromic in base 10.

56658399385665 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56658399385639) and next prime (56658399385691).

It is not a de Polignac number, because 56658399385665 - 2⁵ = 56658399385633 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 466382551 + ... + 466504019.

It is an arithmetic number, because the mean of its divisors is an integer number (885988575360).

Almost surely, 2^{56658399385665} is an apocalyptic number.

56658399385665 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56658399385665 is an abundant number, since it is smaller than the sum of its proper divisors (56748138260415).

56658399385665 is a wasteful number, since it uses less digits than its factorization.

56658399385665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122863.

The product of its digits is 37791360000, while the sum is 84.

The spelling of 56658399385665 in words is "fifty-six trillion, six hundred fifty-eight billion, three hundred ninety-nine million, three hundred eighty-five thousand, six hundred sixty-five".