108920985765504 has 512 divisors, whose sum is σ = 330116207616000. Its totient is φ = 31520366592000.

The previous prime is 108920985765457. The next prime is 108920985765523. The reversal of 108920985765504 is 405567589029801.

It is a super-2 number, since 2×108920985765504² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6071733367 + ... + 6071751305.

It is an arithmetic number, because the mean of its divisors is an integer number (644758218000).

Almost surely, 2^{108920985765504} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108920985765504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165058103808000).

108920985765504 is an abundant number, since it is smaller than the sum of its proper divisors (221195221850496).

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

108920985765504 is a wasteful number, since it uses less digits than its factorization.

108920985765504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18608 (or 18596 counting only the distinct ones).

The product of its (nonzero) digits is 217728000, while the sum is 69.

The spelling of 108920985765504 in words is "one hundred eight trillion, nine hundred twenty billion, nine hundred eighty-five million, seven hundred sixty-five thousand, five hundred four".