21975668160 has 224 divisors, whose sum is σ = 70786873920. Its totient is φ = 5775556608.

The previous prime is 21975668153. The next prime is 21975668179. The reversal of 21975668160 is 6186657912.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38085792 + ... + 38086368.

It is an arithmetic number, because the mean of its divisors is an integer number (316012830).

Almost surely, 2^21975668160 is an apocalyptic number.

21975668160 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 21975668160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35393436960).

21975668160 is an abundant number, since it is smaller than the sum of its proper divisors (48811205760).

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

21975668160 is a wasteful number, since it uses less digits than its factorization.

21975668160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The spelling of 21975668160 in words is "twenty-one billion, nine hundred seventy-five million, six hundred sixty-eight thousand, one hundred sixty".