108989976632400 has 960 divisors, whose sum is σ = 415628779008000. Its totient is φ = 27044169062400.

The previous prime is 108989976632399. The next prime is 108989976632417. The reversal of 108989976632400 is 4236679989801.

108989976632400 is a `hidden beast` number, since 1 + 0 + 8 + 9 + 8 + 99 + 76 + 63 + 2 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 9300273741 + ... + 9300285459.

It is an arithmetic number, because the mean of its divisors is an integer number (432946644800).

Almost surely, 2^{108989976632400} is an apocalyptic number.

108989976632400 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 108989976632400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207814389504000).

108989976632400 is an abundant number, since it is smaller than the sum of its proper divisors (306638802375600).

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

108989976632400 is a wasteful number, since it uses less digits than its factorization.

108989976632400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12569 (or 12552 counting only the distinct ones).

The product of its (nonzero) digits is 282175488, while the sum is 72.

The spelling of 108989976632400 in words is "one hundred eight trillion, nine hundred eighty-nine billion, nine hundred seventy-six million, six hundred thirty-two thousand, four hundred".