22137916104960 has 576 divisors, whose sum is σ = 74588830138368. Its totient is φ = 5584782753792.

The previous prime is 22137916104959. The next prime is 22137916104991. The reversal of 22137916104960 is 6940161973122.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14127578097 + ... + 14127579663.

It is an arithmetic number, because the mean of its divisors is an integer number (129494496768).

Almost surely, 2^{22137916104960} is an apocalyptic number.

22137916104960 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 22137916104960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37294415069184).

22137916104960 is an abundant number, since it is smaller than the sum of its proper divisors (52450914033408).

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

22137916104960 is a wasteful number, since it uses less digits than its factorization.

22137916104960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3270 (or 3256 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 51.

The spelling of 22137916104960 in words is "twenty-two trillion, one hundred thirty-seven billion, nine hundred sixteen million, one hundred four thousand, nine hundred sixty".