108657319680 has 1944 divisors, whose sum is σ = 508888768752. Its totient is φ = 21254897664.

The previous prime is 108657319669. The next prime is 108657319691. The reversal of 108657319680 is 86913756801.

108657319680 is a `hidden beast` number, since 1 + 0 + 8 + 6 + 573 + 1 + 9 + 68 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (108657319669) and next prime (108657319691).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1621751007 + ... + 1621751073.

It is an arithmetic number, because the mean of its divisors is an integer number (261774058).

Almost surely, 2^108657319680 is an apocalyptic number.

108657319680 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 108657319680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254444384376).

108657319680 is an abundant number, since it is smaller than the sum of its proper divisors (400231449072).

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

108657319680 is a wasteful number, since it uses less digits than its factorization.

108657319680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 108657319680 in words is "one hundred eight billion, six hundred fifty-seven million, three hundred nineteen thousand, six hundred eighty".