108009676800 has 840 divisors, whose sum is σ = 424760599296. Its totient is φ = 27037532160.

The previous prime is 108009676793. The next prime is 108009676847. The reversal of 108009676800 is 8676900801.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 282009409 + ... + 282009791.

Almost surely, 2^108009676800 is an apocalyptic number.

108009676800 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 108009676800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212380299648).

108009676800 is an abundant number, since it is smaller than the sum of its proper divisors (316750922496).

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

108009676800 is an equidigital number, since it uses as much as digits as its factorization.

108009676800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 108009676800 in words is "one hundred eight billion, nine million, six hundred seventy-six thousand, eight hundred".