168969160800 has 432 divisors, whose sum is σ = 688234043952. Its totient is φ = 38552371200.

The previous prime is 168969160757. The next prime is 168969160831. The reversal of 168969160800 is 8061969861.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1283652 + ... + 1409148.

It is an arithmetic number, because the mean of its divisors is an integer number (1593134361).

Almost surely, 2^168969160800 is an apocalyptic number.

168969160800 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 168969160800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344117021976).

168969160800 is an abundant number, since it is smaller than the sum of its proper divisors (519264883152).

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

168969160800 is a wasteful number, since it uses less digits than its factorization.

168969160800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125551 (or 125535 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 168969160800 in words is "one hundred sixty-eight billion, nine hundred sixty-nine million, one hundred sixty thousand, eight hundred".