108079094753280 has 1152 divisors, whose sum is σ = 444712549881600. Its totient is φ = 23751976550400.

The previous prime is 108079094753263. The next prime is 108079094753293. The reversal of 108079094753280 is 82357490970801.

108079094753280 is a `hidden beast` number, since 1 + 0 + 8 + 0 + 7 + 9 + 0 + 94 + 7 + 532 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4508731695 + ... + 4508755665.

It is an arithmetic number, because the mean of its divisors is an integer number (386035199550).

Almost surely, 2^{108079094753280} is an apocalyptic number.

108079094753280 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 108079094753280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222356274940800).

108079094753280 is an abundant number, since it is smaller than the sum of its proper divisors (336633455128320).

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

108079094753280 is a wasteful number, since it uses less digits than its factorization.

108079094753280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24281 (or 24258 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 108079094753280 in words is "one hundred eight trillion, seventy-nine billion, ninety-four million, seven hundred fifty-three thousand, two hundred eighty".