22508559685872 has 400 divisors, whose sum is σ = 73097713446912. Its totient is φ = 6639645841920.

The previous prime is 22508559685867. The next prime is 22508559685873. The reversal of 22508559685872 is 27858695580522.

22508559685872 is a `hidden beast` number, since 2 + 2 + 5 + 0 + 8 + 559 + 68 + 5 + 8 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 22508559685872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22508559685873) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 55683433 + ... + 56086199.

Almost surely, 2^{22508559685872} 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 22508559685872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36548856723456).

22508559685872 is an abundant number, since it is smaller than the sum of its proper divisors (50589153761040).

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

22508559685872 is a wasteful number, since it uses less digits than its factorization.

22508559685872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402938 (or 402923 counting only the distinct ones).

The product of its (nonzero) digits is 967680000, while the sum is 72.

The spelling of 22508559685872 in words is "twenty-two trillion, five hundred eight billion, five hundred fifty-nine million, six hundred eighty-five thousand, eight hundred seventy-two".