159947120256 has 384 divisors, whose sum is σ = 540841536000. Its totient is φ = 41414768640.

The previous prime is 159947120251. The next prime is 159947120299. The reversal of 159947120256 is 652021749951.

159947120256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 159947120199 and 159947120208.

It is not an unprimeable number, because it can be changed into a prime (159947120251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78442885 + ... + 78444923.

It is an arithmetic number, because the mean of its divisors is an integer number (1408441500).

Almost surely, 2^159947120256 is an apocalyptic number.

159947120256 is a gapful number since it is divisible by the number (16) 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 159947120256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270420768000).

159947120256 is an abundant number, since it is smaller than the sum of its proper divisors (380894415744).

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

159947120256 is a wasteful number, since it uses less digits than its factorization.

159947120256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2460 (or 2441 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 51.

The spelling of 159947120256 in words is "one hundred fifty-nine billion, nine hundred forty-seven million, one hundred twenty thousand, two hundred fifty-six".