108366576000 has 512 divisors, whose sum is σ = 390442291200. Its totient is φ = 26486784000.

The previous prime is 108366575987. The next prime is 108366576011. The reversal of 108366576000 is 675663801.

108366576000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28270084 + ... + 28273916.

It is an arithmetic number, because the mean of its divisors is an integer number (762582600).

Almost surely, 2^108366576000 is an apocalyptic number.

108366576000 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 108366576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195221145600).

108366576000 is an abundant number, since it is smaller than the sum of its proper divisors (282075715200).

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

108366576000 is a wasteful number, since it uses less digits than its factorization.

108366576000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3915 (or 3893 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 108366576000 in words is "one hundred eight billion, three hundred sixty-six million, five hundred seventy-six thousand".