108610800480 has 1920 divisors, whose sum is σ = 513904849920. Its totient is φ = 20961607680.

The previous prime is 108610800457. The next prime is 108610800509. The reversal of 108610800480 is 84008016801.

108610800480 is a `hidden beast` number, since 10 + 86 + 10 + 80 + 0 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 319 ways as a sum of consecutive naturals, for example, 829090015 + ... + 829090145.

It is an arithmetic number, because the mean of its divisors is an integer number (267658776).

Almost surely, 2^108610800480 is an apocalyptic number.

108610800480 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 108610800480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256952424960).

108610800480 is an abundant number, since it is smaller than the sum of its proper divisors (405294049440).

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

108610800480 is a wasteful number, since it uses less digits than its factorization.

108610800480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 108610800480 in words is "one hundred eight billion, six hundred ten million, eight hundred thousand, four hundred eighty".