160380380160 has 2816 divisors, whose sum is σ = 818747596800. Its totient is φ = 28665446400.

The previous prime is 160380380143. The next prime is 160380380197. The reversal of 160380380160 is 61083083061.

160380380160 is a `hidden beast` number, since 1 + 603 + 8 + 0 + 38 + 0 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2816).

It is a super-2 number, since 2×160380380160² (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 an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2629186530 + ... + 2629186590.

Almost surely, 2^160380380160 is an apocalyptic number.

160380380160 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 160380380160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409373798400).

160380380160 is an abundant number, since it is smaller than the sum of its proper divisors (658367216640).

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

160380380160 is a wasteful number, since it uses less digits than its factorization.

160380380160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 160380380160 in words is "one hundred sixty billion, three hundred eighty million, three hundred eighty thousand, one hundred sixty".