22565252160 has 1344 divisors, whose sum is σ = 97136492544. Its totient is φ = 4926873600.

The previous prime is 22565252117. The next prime is 22565252189. The reversal of 22565252160 is 6125256522.

22565252160 is a `hidden beast` number, since 2 + 2 + 56 + 525 + 21 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 609871662 + ... + 609871698.

It is an arithmetic number, because the mean of its divisors is an integer number (72274176).

Almost surely, 2^22565252160 is an apocalyptic number.

22565252160 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 22565252160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48568246272).

22565252160 is an abundant number, since it is smaller than the sum of its proper divisors (74571240384).

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

22565252160 is a wasteful number, since it uses less digits than its factorization.

22565252160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 22565252160 in words is "twenty-two billion, five hundred sixty-five million, two hundred fifty-two thousand, one hundred sixty".