22625516160 has 1152 divisors, whose sum is σ = 95059560960. Its totient is φ = 5106032640.

The previous prime is 22625516149. The next prime is 22625516183. The reversal of 22625516160 is 6161552622.

22625516160 is a `hidden beast` number, since 2 + 2 + 625 + 5 + 16 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×22625516160² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 729855345 + ... + 729855375.

It is an arithmetic number, because the mean of its divisors is an integer number (82516980).

Almost surely, 2^22625516160 is an apocalyptic number.

22625516160 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 22625516160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47529780480).

22625516160 is an abundant number, since it is smaller than the sum of its proper divisors (72434044800).

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

22625516160 is a wasteful number, since it uses less digits than its factorization.

22625516160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 22625516160 in words is "twenty-two billion, six hundred twenty-five million, five hundred sixteen thousand, one hundred sixty".