159034596480 has 768 divisors, whose sum is σ = 606285388800. Its totient is φ = 39722545152.

The previous prime is 159034596451. The next prime is 159034596481. The reversal of 159034596480 is 84695430951.

159034596480 is a `hidden beast` number, since 1 + 5 + 9 + 0 + 3 + 4 + 596 + 48 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (159034596481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 316171909 + ... + 316172411.

It is an arithmetic number, because the mean of its divisors is an integer number (789434100).

Almost surely, 2^159034596480 is an apocalyptic number.

159034596480 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 159034596480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303142694400).

159034596480 is an abundant number, since it is smaller than the sum of its proper divisors (447250792320).

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

159034596480 is a wasteful number, since it uses less digits than its factorization.

159034596480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 159034596480 in words is "one hundred fifty-nine billion, thirty-four million, five hundred ninety-six thousand, four hundred eighty".