22600479928320 has 1456 divisors, whose sum is σ = 96148377293760. Its totient is φ = 4987023261696.

The previous prime is 22600479928319. The next prime is 22600479928331. The reversal of 22600479928320 is 2382997400622.

22600479928320 is a `hidden beast` number, since 2 + 2 + 6 + 0 + 0 + 479 + 92 + 83 + 2 + 0 = 666.

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

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 3030770032 + ... + 3030777488.

Almost surely, 2^{22600479928320} is an apocalyptic number.

22600479928320 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 22600479928320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48074188646880).

22600479928320 is an abundant number, since it is smaller than the sum of its proper divisors (73547897365440).

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

22600479928320 is an frugal number, since it uses more digits than its factorization.

22600479928320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7540 (or 7503 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 22600479928320 in words is "twenty-two trillion, six hundred billion, four hundred seventy-nine million, nine hundred twenty-eight thousand, three hundred twenty".