160172868800 has 336 divisors, whose sum is σ = 464599763712. Its totient is φ = 53214720000.

The previous prime is 160172868781. The next prime is 160172868827. The reversal of 160172868800 is 8868271061.

It is a happy number.

160172868800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49267175 + ... + 49270425.

It is an arithmetic number, because the mean of its divisors is an integer number (1382737392).

Almost surely, 2^160172868800 is an apocalyptic number.

160172868800 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 160172868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232299881856).

160172868800 is an abundant number, since it is smaller than the sum of its proper divisors (304426894912).

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

160172868800 is a wasteful number, since it uses less digits than its factorization.

160172868800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3416 (or 3401 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 47.

The spelling of 160172868800 in words is "one hundred sixty billion, one hundred seventy-two million, eight hundred sixty-eight thousand, eight hundred".