168516316800 has 576 divisors, whose sum is σ = 649491242400. Its totient is φ = 41357352960.

The previous prime is 168516316799. The next prime is 168516316853. The reversal of 168516316800 is 8613615861.

168516316800 is a `hidden beast` number, since 1 + 6 + 8 + 5 + 1 + 631 + 6 + 8 + 0 + 0 = 666.

168516316800 is digitally balanced in base 2, 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 (576).

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

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 71 ways as a sum of consecutive naturals, for example, 246729259 + ... + 246729941.

Almost surely, 2^168516316800 is an apocalyptic number.

168516316800 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 168516316800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324745621200).

168516316800 is an abundant number, since it is smaller than the sum of its proper divisors (480974925600).

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

168516316800 is a wasteful number, since it uses less digits than its factorization.

168516316800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1385 (or 1365 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 168516316800 in words is "one hundred sixty-eight billion, five hundred sixteen million, three hundred sixteen thousand, eight hundred".