22525356672 has 768 divisors, whose sum is σ = 86255769600. Its totient is φ = 5476294656.

The previous prime is 22525356671. The next prime is 22525356703. The reversal of 22525356672 is 27665352522.

22525356672 is a `hidden beast` number, since 2 + 2 + 52 + 535 + 6 + 67 + 2 = 666.

Its product of digits (1512000) is a multiple of the sum of its prime divisors (350).

It is not an unprimeable number, because it can be changed into a prime (22525356671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 85647613 + ... + 85647875.

It is an arithmetic number, because the mean of its divisors is an integer number (112312200).

Almost surely, 2^22525356672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22525356672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43127884800).

22525356672 is an abundant number, since it is smaller than the sum of its proper divisors (63730412928).

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

22525356672 is a wasteful number, since it uses less digits than its factorization.

22525356672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 350 counting only the distinct ones).

The product of its digits is 1512000, while the sum is 45.

The spelling of 22525356672 in words is "twenty-two billion, five hundred twenty-five million, three hundred fifty-six thousand, six hundred seventy-two".