160407648000 has 1152 divisors, whose sum is σ = 640074839040. Its totient is φ = 39414988800.

The previous prime is 160407647977. The next prime is 160407648001. The reversal of 160407648000 is 846704061.

160407648000 is a `hidden beast` number, since 1 + 6 + 0 + 4 + 0 + 7 + 648 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×160407648000² (a number of 23 digits) contains 22 as substring.

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 (160407648001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 984095919 + ... + 984096081.

It is an arithmetic number, because the mean of its divisors is an integer number (555620520).

Almost surely, 2^160407648000 is an apocalyptic number.

160407648000 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 160407648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320037419520).

160407648000 is an abundant number, since it is smaller than the sum of its proper divisors (479667191040).

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

160407648000 is a wasteful number, since it uses less digits than its factorization.

160407648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 257 counting only the distinct ones).

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

The spelling of 160407648000 in words is "one hundred sixty billion, four hundred seven million, six hundred forty-eight thousand".