21689925916175 has 48 divisors (see below), whose sum is σ = 30649994203392. Its totient is φ = 15072004358400.

The previous prime is 21689925916171. The next prime is 21689925916181. The reversal of 21689925916175 is 57161952998612.

It is not a de Polignac number, because 21689925916175 - 2² = 21689925916171 is a prime.

It is a Smith number, since the sum of its digits (71) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21689925916099 and 21689925916108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21689925916171) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3846347 + ... + 7627203.

It is an arithmetic number, because the mean of its divisors is an integer number (638541545904).

Almost surely, 2^{21689925916175} is an apocalyptic number.

21689925916175 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

21689925916175 is a deficient number, since it is larger than the sum of its proper divisors (8960068287217).

21689925916175 is a wasteful number, since it uses less digits than its factorization.

21689925916175 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3781808 (or 3781803 counting only the distinct ones).

The product of its digits is 146966400, while the sum is 71.

The spelling of 21689925916175 in words is "twenty-one trillion, six hundred eighty-nine billion, nine hundred twenty-five million, nine hundred sixteen thousand, one hundred seventy-five".