22876089984 has 1024 divisors, whose sum is σ = 86717952000. Its totient is φ = 5912248320.

The previous prime is 22876089979. The next prime is 22876090031. The reversal of 22876089984 is 48998067822.

22876089984 = 1096³ + 1097³ + ... + 1112³.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 994612597 + ... + 994612619.

It is an arithmetic number, because the mean of its divisors is an integer number (84685500).

Almost surely, 2^22876089984 is an apocalyptic number.

22876089984 is a gapful number since it is divisible by the number (24) 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 22876089984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43358976000).

22876089984 is an abundant number, since it is smaller than the sum of its proper divisors (63841862016).

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

22876089984 is a wasteful number, since it uses less digits than its factorization.

22876089984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 22876089984 in words is "twenty-two billion, eight hundred seventy-six million, eighty-nine thousand, nine hundred eighty-four".