20953834275168 has 72 divisors (see below), whose sum is σ = 59601887090928. Its totient is φ = 6982921066752.

The previous prime is 20953834275149. The next prime is 20953834275173. The reversal of 20953834275168 is 86157243835902.

20953834275168 is a `hidden beast` number, since 2 + 0 + 9 + 538 + 3 + 42 + 7 + 51 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 7611580 + ... + 9992187.

It is an arithmetic number, because the mean of its divisors is an integer number (827803987374).

It is a 1-persistent number, because it is pandigital, but 2⋅20953834275168 = 41907668550336 is not.

Almost surely, 2^{20953834275168} is an apocalyptic number.

It is an amenable number.

20953834275168 is an abundant number, since it is smaller than the sum of its proper divisors (38648052815760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20953834275168 is a wasteful number, since it uses less digits than its factorization.

20953834275168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17607916 (or 17607905 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 20953834275168 in words is "twenty trillion, nine hundred fifty-three billion, eight hundred thirty-four million, two hundred seventy-five thousand, one hundred sixty-eight".