108672580800 has 840 divisors, whose sum is σ = 461346352896. Its totient is φ = 24577136640.

The previous prime is 108672580799. The next prime is 108672580867. The reversal of 108672580800 is 8085276801.

108672580800 is a `hidden beast` number, since 1 + 0 + 8 + 67 + 2 + 580 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

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

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 93441019 + ... + 93442181.

Almost surely, 2^108672580800 is an apocalyptic number.

108672580800 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 108672580800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230673176448).

108672580800 is an abundant number, since it is smaller than the sum of its proper divisors (352673772096).

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

108672580800 is a wasteful number, since it uses less digits than its factorization.

108672580800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1307 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 108672580800 in words is "one hundred eight billion, six hundred seventy-two million, five hundred eighty thousand, eight hundred".