159606070272 has 1056 divisors, whose sum is σ = 571509299200. Its totient is φ = 44341862400.

The previous prime is 159606070243. The next prime is 159606070277. The reversal of 159606070272 is 272070606951.

159606070272 is a `hidden beast` number, since 15 + 9 + 6 + 0 + 607 + 0 + 27 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (159606070277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5148582897 + ... + 5148582927.

Almost surely, 2^159606070272 is an apocalyptic number.

159606070272 is a gapful number since it is divisible by the number (12) 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 159606070272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285754649600).

159606070272 is an abundant number, since it is smaller than the sum of its proper divisors (411903228928).

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

159606070272 is an equidigital number, since it uses as much as digits as its factorization.

159606070272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 159606070272 in words is "one hundred fifty-nine billion, six hundred six million, seventy thousand, two hundred seventy-two".