108955875409920 has 3680 divisors, whose sum is σ = 526187118124800. Its totient is φ = 21308406497280.

The previous prime is 108955875409907. The next prime is 108955875409951. The reversal of 108955875409920 is 29904578559801.

108955875409920 is a `hidden beast` number, since 1 + 0 + 8 + 9 + 5 + 58 + 7 + 540 + 9 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6409169141752 + ... + 6409169141768.

Almost surely, 2^{108955875409920} is an apocalyptic number.

108955875409920 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 108955875409920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263093559062400).

108955875409920 is an abundant number, since it is smaller than the sum of its proper divisors (417231242714880).

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

108955875409920 is an frugal number, since it uses more digits than its factorization.

108955875409920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 326592000, while the sum is 72.

The spelling of 108955875409920 in words is "one hundred eight trillion, nine hundred fifty-five billion, eight hundred seventy-five million, four hundred nine thousand, nine hundred twenty".