5657638367565 has 24 divisors (see below), whose sum is σ = 9952939939488. Its totient is φ = 2972371200480.

The previous prime is 5657638367483. The next prime is 5657638367587.

5657638367565 is a `hidden beast` number, since 5 + 6 + 57 + 6 + 3 + 8 + 3 + 6 + 7 + 565 = 666.

5657638367565 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5657638367565 - 2⁸ = 5657638367309 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 5657638367493 and 5657638367502.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 938245471 + ... + 938251500.

It is an arithmetic number, because the mean of its divisors is an integer number (414705830812).

Almost surely, 2^{5657638367565} is an apocalyptic number.

It is an amenable number.

5657638367565 is a deficient number, since it is larger than the sum of its proper divisors (4295301571923).

5657638367565 is a wasteful number, since it uses less digits than its factorization.

5657638367565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1876497049 (or 1876497046 counting only the distinct ones).

The product of its digits is 2857680000, while the sum is 72.

The spelling of 5657638367565 in words is "five trillion, six hundred fifty-seven billion, six hundred thirty-eight million, three hundred sixty-seven thousand, five hundred sixty-five".