21925568160 has 192 divisors, whose sum is σ = 76848912000. Its totient is φ = 5838483456.

The previous prime is 21925568153. The next prime is 21925568191. The reversal of 21925568160 is 6186552912.

21925568160 is a `hidden beast` number, since 2 + 1 + 9 + 25 + 568 + 1 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 3396616 + ... + 3403064.

It is an arithmetic number, because the mean of its divisors is an integer number (400254750).

Almost surely, 2^21925568160 is an apocalyptic number.

21925568160 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 21925568160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38424456000).

21925568160 is an abundant number, since it is smaller than the sum of its proper divisors (54923343840).

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

21925568160 is a wasteful number, since it uses less digits than its factorization.

21925568160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7260 (or 7246 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 21925568160 in words is "twenty-one billion, nine hundred twenty-five million, five hundred sixty-eight thousand, one hundred sixty".