108983579950080 has 1056 divisors, whose sum is σ = 427699812653568. Its totient is φ = 26390126592000.

The previous prime is 108983579950039. The next prime is 108983579950111. The reversal of 108983579950080 is 80059975389801.

108983579950080 is a `hidden beast` number, since 1 + 0 + 8 + 9 + 8 + 35 + 7 + 9 + 9 + 500 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-3 number, since 3×108983579950080³ (a number of 43 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 108983579949990 and 108983579950008.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13453098030 + ... + 13453106130.

Almost surely, 2^{108983579950080} is an apocalyptic number.

108983579950080 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 108983579950080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213849906326784).

108983579950080 is an abundant number, since it is smaller than the sum of its proper divisors (318716232703488).

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

108983579950080 is an equidigital number, since it uses as much as digits as its factorization.

108983579950080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9135 (or 9105 counting only the distinct ones).

The product of its (nonzero) digits is 195955200, while the sum is 72.

The spelling of 108983579950080 in words is "one hundred eight trillion, nine hundred eighty-three billion, five hundred seventy-nine million, nine hundred fifty thousand, eighty".