22879687945600 has 576 divisors, whose sum is σ = 63453386937600. Its totient is φ = 8127516672000.

The previous prime is 22879687945591. The next prime is 22879687945627. The reversal of 22879687945600 is 654978697822.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4621223125 + ... + 4621228075.

It is an arithmetic number, because the mean of its divisors is an integer number (110162130100).

Almost surely, 2^{22879687945600} is an apocalyptic number.

22879687945600 is a gapful number since it is divisible by the number (20) 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 22879687945600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31726693468800).

22879687945600 is an abundant number, since it is smaller than the sum of its proper divisors (40573698992000).

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

22879687945600 is a wasteful number, since it uses less digits than its factorization.

22879687945600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5291 (or 5257 counting only the distinct ones).

The product of its (nonzero) digits is 731566080, while the sum is 73.

The spelling of 22879687945600 in words is "twenty-two trillion, eight hundred seventy-nine billion, six hundred eighty-seven million, nine hundred forty-five thousand, six hundred".