168240391200 has 2304 divisors, whose sum is σ = 795099110400. Its totient is φ = 33443020800.

The previous prime is 168240391129. The next prime is 168240391213. The reversal of 168240391200 is 2193042861.

168240391200 is a `hidden beast` number, since 1 + 6 + 8 + 240 + 391 + 20 + 0 = 666.

It is a super-2 number, since 2×168240391200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2758039170 + ... + 2758039230.

It is an arithmetic number, because the mean of its divisors is an integer number (345095100).

Almost surely, 2^168240391200 is an apocalyptic number.

168240391200 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 168240391200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397549555200).

168240391200 is an abundant number, since it is smaller than the sum of its proper divisors (626858719200).

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

168240391200 is a wasteful number, since it uses less digits than its factorization.

168240391200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 168240391200 in words is "one hundred sixty-eight billion, two hundred forty million, three hundred ninety-one thousand, two hundred".