22880676556800 has 1404 divisors, whose sum is σ = 87654934906656. Its totient is φ = 5703362150400.

The previous prime is 22880676556799. The next prime is 22880676556819. The reversal of 22880676556800 is 865567608822.

22880676556800 is a `hidden beast` number, since 2 + 2 + 8 + 8 + 0 + 6 + 7 + 65 + 568 + 0 + 0 = 666.

It is a super-3 number, since 3×22880676556800³ (a number of 41 digits) contains 333 as substring.

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 107 ways as a sum of consecutive naturals, for example, 72178790242 + ... + 72178790558.

Almost surely, 2^{22880676556800} is an apocalyptic number.

22880676556800 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 22880676556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43827467453328).

22880676556800 is an abundant number, since it is smaller than the sum of its proper divisors (64774258349856).

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

22880676556800 is a wasteful number, since it uses less digits than its factorization.

22880676556800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 22880676556800 in words is "twenty-two trillion, eight hundred eighty billion, six hundred seventy-six million, five hundred fifty-six thousand, eight hundred".