160864704000 has 3200 divisors, whose sum is σ = 830490845184. Its totient is φ = 29859840000.

The previous prime is 160864703983. The next prime is 160864704001. The reversal of 160864704000 is 407468061.

160864704000 is a `hidden beast` number, since 1 + 6 + 0 + 8 + 647 + 0 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3200).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (160864704001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 5189183985 + ... + 5189184015.

Almost surely, 2^160864704000 is an apocalyptic number.

160864704000 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 160864704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415245422592).

160864704000 is an abundant number, since it is smaller than the sum of its proper divisors (669626141184).

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

160864704000 is a wasteful number, since it uses less digits than its factorization.

160864704000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 160864704000 in words is "one hundred sixty billion, eight hundred sixty-four million, seven hundred four thousand".