22915800460800 has 4320 divisors, whose sum is σ = 101808134299872. Its totient is φ = 5068050923520.

The previous prime is 22915800460769. The next prime is 22915800460811. The reversal of 22915800460800 is 806400851922.

22915800460800 is a `hidden beast` number, since 2 + 2 + 9 + 1 + 580 + 0 + 4 + 60 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 432373593574 + ... + 432373593626.

Almost surely, 2^{22915800460800} is an apocalyptic number.

22915800460800 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 22915800460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50904067149936).

22915800460800 is an abundant number, since it is smaller than the sum of its proper divisors (78892333839072).

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

22915800460800 is a wasteful number, since it uses less digits than its factorization.

22915800460800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 22915800460800 in words is "twenty-two trillion, nine hundred fifteen billion, eight hundred million, four hundred sixty thousand, eight hundred".