108168652800 has 864 divisors, whose sum is σ = 431166153600. Its totient is φ = 26568622080.

The previous prime is 108168652777. The next prime is 108168652871. The reversal of 108168652800 is 8256861801.

108168652800 is a `hidden beast` number, since 108 + 16 + 8 + 6 + 528 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 233625369 + ... + 233625831.

It is an arithmetic number, because the mean of its divisors is an integer number (499034900).

Almost surely, 2^108168652800 is an apocalyptic number.

108168652800 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 108168652800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215583076800).

108168652800 is an abundant number, since it is smaller than the sum of its proper divisors (322997500800).

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

108168652800 is a wasteful number, since it uses less digits than its factorization.

108168652800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 108168652800 in words is "one hundred eight billion, one hundred sixty-eight million, six hundred fifty-two thousand, eight hundred".