108079383883680 has 480 divisors, whose sum is σ = 417175522283520. Its totient is φ = 26133694433280.

The previous prime is 108079383883663. The next prime is 108079383883687. The reversal of 108079383883680 is 86388383970801.

108079383883680 is a `hidden beast` number, since 1 + 0 + 80 + 7 + 93 + 8 + 388 + 3 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct 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 = 108079383883599 and 108079383883608.

It is not an unprimeable number, because it can be changed into a prime (108079383883687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 54481377 + ... + 56430303.

It is an arithmetic number, because the mean of its divisors is an integer number (869115671424).

Almost surely, 2^{108079383883680} is an apocalyptic number.

108079383883680 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 108079383883680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208587761141760).

108079383883680 is an abundant number, since it is smaller than the sum of its proper divisors (309096138399840).

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

108079383883680 is a wasteful number, since it uses less digits than its factorization.

108079383883680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1949354 (or 1949337 counting only the distinct ones).

The product of its (nonzero) digits is 334430208, while the sum is 72.

The spelling of 108079383883680 in words is "one hundred eight trillion, seventy-nine billion, three hundred eighty-three million, eight hundred eighty-three thousand, six hundred eighty".