22079456824320 has 2112 divisors, whose sum is σ = 95564571648000. Its totient is φ = 4881008885760.

The previous prime is 22079456824319. The next prime is 22079456824331. The reversal of 22079456824320 is 2342865497022.

22079456824320 is a `hidden beast` number, since 2 + 2 + 0 + 79 + 4 + 568 + 2 + 4 + 3 + 2 + 0 = 666.

It is a super-2 number, since 2×22079456824320² (a number of 27 digits) contains 22 as substring.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13229152446 + ... + 13229154114.

Almost surely, 2^{22079456824320} is an apocalyptic number.

22079456824320 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 22079456824320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47782285824000).

22079456824320 is an abundant number, since it is smaller than the sum of its proper divisors (73485114823680).

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

22079456824320 is an equidigital number, since it uses as much as digits as its factorization.

22079456824320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1761 (or 1717 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 22079456824320 in words is "twenty-two trillion, seventy-nine billion, four hundred fifty-six million, eight hundred twenty-four thousand, three hundred twenty".