160013727121632 has 48 divisors (see below), whose sum is σ = 422212386249360. Its totient is φ = 53061546811392.

The previous prime is 160013727121609. The next prime is 160013727121643. The reversal of 160013727121632 is 236121727310061.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×160013727121632² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4318141207 + ... + 4318178262.

It is an arithmetic number, because the mean of its divisors is an integer number (8796091380195).

Almost surely, 2^{160013727121632} is an apocalyptic number.

160013727121632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

160013727121632 is an abundant number, since it is smaller than the sum of its proper divisors (262198659127728).

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

160013727121632 is a wasteful number, since it uses less digits than its factorization.

160013727121632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8636319675 (or 8636319667 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The spelling of 160013727121632 in words is "one hundred sixty trillion, thirteen billion, seven hundred twenty-seven million, one hundred twenty-one thousand, six hundred thirty-two".