21089875988160 has 4704 divisors, whose sum is σ = 100148605148160. Its totient is φ = 4127537627136.

The previous prime is 21089875988141. The next prime is 21089875988239. The reversal of 21089875988160 is 6188957898012.

21089875988160 is a `hidden beast` number, since 2 + 10 + 8 + 9 + 8 + 7 + 598 + 8 + 16 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 314774268447 + ... + 314774268513.

Almost surely, 2^{21089875988160} is an apocalyptic number.

21089875988160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21089875988160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50074302574080).

21089875988160 is an abundant number, since it is smaller than the sum of its proper divisors (79058729160000).

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

21089875988160 is a wasteful number, since it uses less digits than its factorization.

21089875988160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 72.

The spelling of 21089875988160 in words is "twenty-one trillion, eighty-nine billion, eight hundred seventy-five million, nine hundred eighty-eight thousand, one hundred sixty".