160413405384960 has 6480 divisors, whose sum is σ = 768841825909248. Its totient is φ = 31954806374400.

The previous prime is 160413405384913. The next prime is 160413405385027. The reversal of 160413405384960 is 69483504314061.

It is a happy number.

160413405384960 is a `hidden beast` number, since 1 + 6 + 0 + 4 + 1 + 3 + 4 + 0 + 538 + 49 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (6480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 160413405384897 and 160413405384906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 3912522082540 + ... + 3912522082580.

Almost surely, 2^{160413405384960} is an apocalyptic number.

160413405384960 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 160413405384960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384420912954624).

160413405384960 is an abundant number, since it is smaller than the sum of its proper divisors (608428420524288).

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

160413405384960 is an frugal number, since it uses more digits than its factorization.

160413405384960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 160413405384960 in words is "one hundred sixty trillion, four hundred thirteen billion, four hundred five million, three hundred eighty-four thousand, nine hundred sixty".