22079317356096 has 1792 divisors, whose sum is σ = 84957070786560. Its totient is φ = 4869303828480.

The previous prime is 22079317356073. The next prime is 22079317356133. The reversal of 22079317356096 is 69065371397022.

It is a super-2 number, since 2×22079317356096² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 29166865350 + ... + 29166866106.

It is an arithmetic number, because the mean of its divisors is an integer number (47409079680).

Almost surely, 2^{22079317356096} is an apocalyptic number.

22079317356096 is a gapful number since it is divisible by the number (26) 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 22079317356096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42478535393280).

22079317356096 is an abundant number, since it is smaller than the sum of its proper divisors (62877753430464).

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

22079317356096 is a wasteful number, since it uses less digits than its factorization.

22079317356096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 25719120, while the sum is 60.

The spelling of 22079317356096 in words is "twenty-two trillion, seventy-nine billion, three hundred seventeen million, three hundred fifty-six thousand, ninety-six".