108378465652800 has 840 divisors, whose sum is σ = 479244560879040. Its totient is φ = 23468415897600.

The previous prime is 108378465652783. The next prime is 108378465652811. The reversal of 108378465652800 is 8256564873801.

108378465652800 is a `hidden beast` number, since 1 + 0 + 8 + 3 + 7 + 8 + 46 + 565 + 28 + 0 + 0 = 666.

108378465652800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (840).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 14092990 + ... + 20380610.

Almost surely, 2^{108378465652800} is an apocalyptic number.

108378465652800 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 108378465652800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239622280439520).

108378465652800 is an abundant number, since it is smaller than the sum of its proper divisors (370866095226240).

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

108378465652800 is a wasteful number, since it uses less digits than its factorization.

108378465652800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6287681 (or 6287657 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 108378465652800 in words is "one hundred eight trillion, three hundred seventy-eight billion, four hundred sixty-five million, six hundred fifty-two thousand, eight hundred".