108779033188800 has 1008 divisors, whose sum is σ = 425584050877440. Its totient is φ = 26189976084480.

The previous prime is 108779033188799. The next prime is 108779033188823. The reversal of 108779033188800 is 8881330977801.

108779033188800 is a `hidden beast` number, since 1 + 0 + 87 + 79 + 0 + 331 + 88 + 80 + 0 = 666.

108779033188800 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×108779033188800² (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 143 ways as a sum of consecutive naturals, for example, 1582367229 + ... + 1582435971.

It is an arithmetic number, because the mean of its divisors is an integer number (422206399680).

Almost surely, 2^{108779033188800} is an apocalyptic number.

108779033188800 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 108779033188800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212792025438720).

108779033188800 is an abundant number, since it is smaller than the sum of its proper divisors (316805017688640).

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

108779033188800 is a wasteful number, since it uses less digits than its factorization.

108779033188800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68970 (or 68952 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 63.

The spelling of 108779033188800 in words is "one hundred eight trillion, seven hundred seventy-nine billion, thirty-three million, one hundred eighty-eight thousand, eight hundred".