168120375292800 has 2160 divisors, whose sum is σ = 738968177395800. Its totient is φ = 37528608337920.

The previous prime is 168120375292759. The next prime is 168120375292813. The reversal of 168120375292800 is 8292573021861.

168120375292800 is a `hidden beast` number, since 1 + 6 + 8 + 1 + 2 + 0 + 37 + 529 + 2 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 269 ways as a sum of consecutive naturals, for example, 23483775621 + ... + 23483782779.

Almost surely, 2^{168120375292800} is an apocalyptic number.

168120375292800 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 168120375292800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369484088697900).

168120375292800 is an abundant number, since it is smaller than the sum of its proper divisors (570847802103000).

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

168120375292800 is an equidigital number, since it uses as much as digits as its factorization.

168120375292800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7295 (or 7219 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 168120375292800 in words is "one hundred sixty-eight trillion, one hundred twenty billion, three hundred seventy-five million, two hundred ninety-two thousand, eight hundred".