159907560960 has 320 divisors, whose sum is σ = 591289155072. Its totient is φ = 36108926976.

The previous prime is 159907560947. The next prime is 159907561003. The reversal of 159907560960 is 69065709951.

159907560960 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 (320).

It is a super-2 number, since 2×159907560960² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 159907560960.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4444162 + ... + 4479998.

Almost surely, 2^159907560960 is an apocalyptic number.

159907560960 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 159907560960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295644577536).

159907560960 is an abundant number, since it is smaller than the sum of its proper divisors (431381594112).

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

159907560960 is an equidigital number, since it uses as much as digits as its factorization.

159907560960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35953 (or 35937 counting only the distinct ones).

The product of its (nonzero) digits is 4592700, while the sum is 57.

The spelling of 159907560960 in words is "one hundred fifty-nine billion, nine hundred seven million, five hundred sixty thousand, nine hundred sixty".