159872431104 has 176 divisors, whose sum is σ = 475012736640. Its totient is φ = 53116600320.

The previous prime is 159872431097. The next prime is 159872431111. The reversal of 159872431104 is 401134278951.

159872431104 is a `hidden beast` number, since 1 + 598 + 7 + 2 + 43 + 1 + 10 + 4 = 666.

159872431104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (159872431097) and next prime (159872431111).

It is a self number, because there is not a number n which added to its sum of digits gives 159872431104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8589232 + ... + 8607824.

Almost surely, 2^159872431104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 159872431104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237506368320).

159872431104 is an abundant number, since it is smaller than the sum of its proper divisors (315140305536).

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

159872431104 is a wasteful number, since it uses less digits than its factorization.

159872431104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18933 (or 18909 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 159872431104 in words is "one hundred fifty-nine billion, eight hundred seventy-two million, four hundred thirty-one thousand, one hundred four".