159953782272 has 320 divisors, whose sum is σ = 462567340224. Its totient is φ = 48931799040.

The previous prime is 159953782217. The next prime is 159953782369. The reversal of 159953782272 is 272287359951.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

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 31 ways as a sum of consecutive naturals, for example, 218217618 + ... + 218218350.

Almost surely, 2^159953782272 is an apocalyptic number.

159953782272 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 159953782272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231283670112).

159953782272 is an abundant number, since it is smaller than the sum of its proper divisors (302613557952).

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

159953782272 is a wasteful number, since it uses less digits than its factorization.

159953782272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969 (or 953 counting only the distinct ones).

The product of its digits is 19051200, while the sum is 60.

The spelling of 159953782272 in words is "one hundred fifty-nine billion, nine hundred fifty-three million, seven hundred eighty-two thousand, two hundred seventy-two".