108016555680 has 576 divisors, whose sum is σ = 427320811008. Its totient is φ = 24555847680.

The previous prime is 108016555679. The next prime is 108016555763. The reversal of 108016555680 is 86555610801.

108016555680 is a `hidden beast` number, since 1 + 0 + 8 + 0 + 16 + 5 + 556 + 80 = 666.

108016555680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 98825214 + ... + 98826306.

It is an arithmetic number, because the mean of its divisors is an integer number (741876408).

Almost surely, 2^108016555680 is an apocalyptic number.

108016555680 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 108016555680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213660405504).

108016555680 is an abundant number, since it is smaller than the sum of its proper divisors (319304255328).

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

108016555680 is a wasteful number, since it uses less digits than its factorization.

108016555680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1509 (or 1498 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 45.

The spelling of 108016555680 in words is "one hundred eight billion, sixteen million, five hundred fifty-five thousand, six hundred eighty".