21753753165 has 96 divisors (see below), whose sum is σ = 39933444096. Its totient is φ = 10933211520.

The previous prime is 21753753157. The next prime is 21753753181. The reversal of 21753753165 is 56135735712.

21753753165 is a `hidden beast` number, since 2 + 1 + 7 + 53 + 7 + 531 + 65 = 666.

It is not a de Polignac number, because 21753753165 - 2³ = 21753753157 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 21753753165.

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 95 ways as a sum of consecutive naturals, for example, 21950820 + ... + 21951810.

It is an arithmetic number, because the mean of its divisors is an integer number (415973376).

Almost surely, 2^21753753165 is an apocalyptic number.

It is an amenable number.

21753753165 is a deficient number, since it is larger than the sum of its proper divisors (18179690931).

21753753165 is a wasteful number, since it uses less digits than its factorization.

21753753165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319 (or 1316 counting only the distinct ones).

The product of its digits is 661500, while the sum is 45.

The spelling of 21753753165 in words is "twenty-one billion, seven hundred fifty-three million, seven hundred fifty-three thousand, one hundred sixty-five".