108158836291200 has 480 divisors, whose sum is σ = 404597494376460. Its totient is φ = 28447250595840.

The previous prime is 108158836291171. The next prime is 108158836291211. The reversal of 108158836291200 is 2192638851801.

108158836291200 is a `hidden beast` number, since 1 + 0 + 8 + 1 + 5 + 8 + 8 + 3 + 629 + 1 + 2 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 79569111703104 + 28589724588096 = 8920152^2 + 5346936^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 16063522 + ... + 21779678.

Almost surely, 2^{108158836291200} is an apocalyptic number.

108158836291200 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 108158836291200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202298747188230).

108158836291200 is an abundant number, since it is smaller than the sum of its proper divisors (296438658085260).

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

108158836291200 is an equidigital number, since it uses as much as digits as its factorization.

108158836291200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5716266 (or 5716240 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 108158836291200 in words is "one hundred eight trillion, one hundred fifty-eight billion, eight hundred thirty-six million, two hundred ninety-one thousand, two hundred".