22527808128 has 960 divisors, whose sum is σ = 88240363200. Its totient is φ = 5553930240.

The previous prime is 22527808117. The next prime is 22527808157. The reversal of 22527808128 is 82180872522.

22527808128 is a `hidden beast` number, since 22 + 527 + 8 + 0 + 81 + 28 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 726703473 + ... + 726703503.

It is an arithmetic number, because the mean of its divisors is an integer number (91917045).

Almost surely, 2^22527808128 is an apocalyptic number.

22527808128 is a gapful number since it is divisible by the number (28) 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 22527808128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44120181600).

22527808128 is an abundant number, since it is smaller than the sum of its proper divisors (65712555072).

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

22527808128 is a wasteful number, since it uses less digits than its factorization.

22527808128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The spelling of 22527808128 in words is "twenty-two billion, five hundred twenty-seven million, eight hundred eight thousand, one hundred twenty-eight".