159956007120 has 800 divisors, whose sum is σ = 686389068288. Its totient is φ = 33619193856.

The previous prime is 159956007109. The next prime is 159956007157. The reversal of 159956007120 is 21700659951.

159956007120 is a `hidden beast` number, since 1 + 599 + 56 + 0 + 0 + 7 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 287173882 + ... + 287174438.

Almost surely, 2^159956007120 is an apocalyptic number.

159956007120 is a gapful number since it is divisible by the number (10) 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 159956007120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343194534144).

159956007120 is an abundant number, since it is smaller than the sum of its proper divisors (526433061168).

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

159956007120 is a wasteful number, since it uses less digits than its factorization.

159956007120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1089 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 170100, while the sum is 45.

The spelling of 159956007120 in words is "one hundred fifty-nine billion, nine hundred fifty-six million, seven thousand, one hundred twenty".