160799408668800 has 3456 divisors, whose sum is σ = 680349292983360. Its totient is φ = 37444239360000.

The previous prime is 160799408668673. The next prime is 160799408668883. The reversal of 160799408668800 is 8866804997061.

160799408668800 is a `hidden beast` number, since 1 + 607 + 9 + 9 + 4 + 0 + 8 + 6 + 6 + 8 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (72).

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 431 ways as a sum of consecutive naturals, for example, 281610172515 + ... + 281610173085.

Almost surely, 2^{160799408668800} is an apocalyptic number.

160799408668800 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 160799408668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340174646491680).

160799408668800 is an abundant number, since it is smaller than the sum of its proper divisors (519549884314560).

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

160799408668800 is a wasteful number, since it uses less digits than its factorization.

160799408668800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 250822656, while the sum is 72.

The spelling of 160799408668800 in words is "one hundred sixty trillion, seven hundred ninety-nine billion, four hundred eight million, six hundred sixty-eight thousand, eight hundred".