22509900870912 has 720 divisors, whose sum is σ = 87469310218752. Its totient is φ = 5587452887040.

The previous prime is 22509900870889. The next prime is 22509900870967. The reversal of 22509900870912 is 21907800990522.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 31727737 + ... + 32429447.

Almost surely, 2^{22509900870912} 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 22509900870912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43734655109376).

22509900870912 is an abundant number, since it is smaller than the sum of its proper divisors (64959409347840).

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

22509900870912 is a wasteful number, since it uses less digits than its factorization.

22509900870912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701776 (or 701753 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 22509900870912 in words is "twenty-two trillion, five hundred nine billion, nine hundred million, eight hundred seventy thousand, nine hundred twelve".