159591928320 has 1600 divisors, whose sum is σ = 671921851392. Its totient is φ = 35831808000.

The previous prime is 159591928303. The next prime is 159591928393. The reversal of 159591928320 is 23829195951.

It is a happy number.

159591928320 is a `hidden beast` number, since 1 + 5 + 9 + 591 + 9 + 28 + 3 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2616261090 + ... + 2616261150.

Almost surely, 2^159591928320 is an apocalyptic number.

159591928320 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 159591928320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335960925696).

159591928320 is an abundant number, since it is smaller than the sum of its proper divisors (512329923072).

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

159591928320 is a wasteful number, since it uses less digits than its factorization.

159591928320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 54.

The spelling of 159591928320 in words is "one hundred fifty-nine billion, five hundred ninety-one million, nine hundred twenty-eight thousand, three hundred twenty".