22506688512 has 520 divisors, whose sum is σ = 83919350592. Its totient is φ = 5839257600.

The previous prime is 22506688499. The next prime is 22506688613. The reversal of 22506688512 is 21588660522.

It is a happy number.

22506688512 is a `hidden beast` number, since 2 + 2 + 50 + 6 + 6 + 88 + 512 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 25546312 + ... + 25547192.

Almost surely, 2^22506688512 is an apocalyptic number.

22506688512 is a gapful number since it is divisible by the number (22) 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 22506688512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41959675296).

22506688512 is an abundant number, since it is smaller than the sum of its proper divisors (61412662080).

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

22506688512 is an equidigital number, since it uses as much as digits as its factorization.

22506688512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 22506688512 in words is "twenty-two billion, five hundred six million, six hundred eighty-eight thousand, five hundred twelve".