108920558046960 has 960 divisors, whose sum is σ = 432487329039360. Its totient is φ = 24984243210240.

The previous prime is 108920558046919. The next prime is 108920558047009. The reversal of 108920558046960 is 69640855029801.

108920558046960 is a `hidden beast` number, since 1 + 0 + 8 + 9 + 2 + 0 + 5 + 580 + 46 + 9 + 6 + 0 = 666.

It is a super-2 number, since 2×108920558046960² (a number of 29 digits) contains 22 as substring.

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, 7316480637 + ... + 7316495523.

It is an arithmetic number, because the mean of its divisors is an integer number (450507634416).

Almost surely, 2^{108920558046960} is an apocalyptic number.

108920558046960 is a gapful number since it is divisible by the number (10) 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 108920558046960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216243664519680).

108920558046960 is an abundant number, since it is smaller than the sum of its proper divisors (323566770992400).

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

108920558046960 is a wasteful number, since it uses less digits than its factorization.

108920558046960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15811 (or 15780 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 63.

The spelling of 108920558046960 in words is "one hundred eight trillion, nine hundred twenty billion, five hundred fifty-eight million, forty-six thousand, nine hundred sixty".