108916427692800 has 1728 divisors, whose sum is σ = 500829704847360. Its totient is φ = 22546408734720.

The previous prime is 108916427692789. The next prime is 108916427692859. The reversal of 108916427692800 is 8296724619801.

108916427692800 is a `hidden beast` number, since 1 + 0 + 89 + 1 + 6 + 4 + 276 + 9 + 280 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 833349057 + ... + 833479743.

It is an arithmetic number, because the mean of its divisors is an integer number (289832005120).

Almost surely, 2^{108916427692800} is an apocalyptic number.

108916427692800 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 108916427692800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250414852423680).

108916427692800 is an abundant number, since it is smaller than the sum of its proper divisors (391913277154560).

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

108916427692800 is a wasteful number, since it uses less digits than its factorization.

108916427692800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130795 (or 130770 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 108916427692800 in words is "one hundred eight trillion, nine hundred sixteen billion, four hundred twenty-seven million, six hundred ninety-two thousand, eight hundred".