109986332080000 has 960 divisors, whose sum is σ = 311239641121200. Its totient is φ = 38552297472000.

The previous prime is 109986332079979. The next prime is 109986332080013. The reversal of 109986332080000 is 80233689901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 28966638102 + ... + 28966641898.

Almost surely, 2^{109986332080000} is an apocalyptic number.

109986332080000 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 109986332080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155619820560600).

109986332080000 is an abundant number, since it is smaller than the sum of its proper divisors (201253309041200).

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

109986332080000 is an equidigital number, since it uses as much as digits as its factorization.

109986332080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3945 (or 3899 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 49.

The spelling of 109986332080000 in words is "one hundred nine trillion, nine hundred eighty-six billion, three hundred thirty-two million, eighty thousand".