160800016000 has 256 divisors, whose sum is σ = 437872780800. Its totient is φ = 58361548800.

The previous prime is 160800015991. The next prime is 160800016001. The reversal of 160800016000 is 610008061.

It is not an unprimeable number, because it can be changed into a prime (160800016001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12265449 + ... + 12278551.

It is an arithmetic number, because the mean of its divisors is an integer number (1710440550).

Almost surely, 2^160800016000 is an apocalyptic number.

160800016000 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 160800016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218936390400).

160800016000 is an abundant number, since it is smaller than the sum of its proper divisors (277072764800).

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

160800016000 is a wasteful number, since it uses less digits than its factorization.

160800016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13204 (or 13182 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The spelling of 160800016000 in words is "one hundred sixty billion, eight hundred million, sixteen thousand".