108876960000 has 900 divisors, whose sum is σ = 420316255744. Its totient is φ = 27993600000.

The previous prime is 108876959963. The next prime is 108876960007. The reversal of 108876960000 is 69678801.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (900).

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

It is not an unprimeable number, because it can be changed into a prime (108876960007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 401759865 + ... + 401760135.

Almost surely, 2^108876960000 is an apocalyptic number.

108876960000 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 108876960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210158127872).

108876960000 is an abundant number, since it is smaller than the sum of its proper divisors (311439295744).

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

108876960000 is an frugal number, since it uses more digits than its factorization.

108876960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 312 counting only the distinct ones).

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

The spelling of 108876960000 in words is "one hundred eight billion, eight hundred seventy-six million, nine hundred sixty thousand".