22624960512 has 512 divisors, whose sum is σ = 78012864000. Its totient is φ = 5780275200.

The previous prime is 22624960441. The next prime is 22624960549. The reversal of 22624960512 is 21506942622.

It is a tau number, because it is divible by the number of its divisors (512).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 370900962 + ... + 370901022.

It is an arithmetic number, because the mean of its divisors is an integer number (152368875).

Almost surely, 2^22624960512 is an apocalyptic number.

22624960512 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 22624960512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39006432000).

22624960512 is an abundant number, since it is smaller than the sum of its proper divisors (55387903488).

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

22624960512 is an frugal number, since it uses more digits than its factorization.

22624960512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 22624960512 in words is "twenty-two billion, six hundred twenty-four million, nine hundred sixty thousand, five hundred twelve".