159958573285729 has 81 divisors (see below), whose sum is σ = 178064962565049. Its totient is φ = 143659104514560.

The previous prime is 159958573285717. The next prime is 159958573285747. The reversal of 159958573285729 is 927582375859951.

The square root of 159958573285729 is 12647473.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 80756567329 + 159877816718400 = 284177^2 + 12644280^2 .

It is not a de Polignac number, because 159958573285729 - 2¹¹ = 159958573283681 is a prime.

It is a super-2 number, since 2×159958573285729² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

Its product of digits (17146080000) is a multiple of the sum of its prime divisors (384).

It is not an unprimeable number, because it can be changed into a prime (159958573285829) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 686517481797 + ... + 686517482029.

Almost surely, 2^{159958573285729} is an apocalyptic number.

159958573285729 is the 12647473-rd square number.

159958573285729 is the 6323737-th centered octagonal number.

It is an amenable number.

159958573285729 is a deficient number, since it is larger than the sum of its proper divisors (18106389279320).

159958573285729 is an frugal number, since it uses more digits than its factorization.

159958573285729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 384 counting only the distinct ones).

The product of its digits is 17146080000, while the sum is 85.

The spelling of 159958573285729 in words is "one hundred fifty-nine trillion, nine hundred fifty-eight billion, five hundred seventy-three million, two hundred eighty-five thousand, seven hundred twenty-nine".