159979313979264 has 512 divisors, whose sum is σ = 467567291842560. Its totient is φ = 48168478310400.

The previous prime is 159979313979241. The next prime is 159979313979313. The reversal of 159979313979264 is 462979313979951.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36887088904 + ... + 36887093240.

It is an arithmetic number, because the mean of its divisors is an integer number (913217366880).

Almost surely, 2^{159979313979264} 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 159979313979264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233783645921280).

159979313979264 is an abundant number, since it is smaller than the sum of its proper divisors (307587977863296).

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

159979313979264 is a wasteful number, since it uses less digits than its factorization.

159979313979264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5278 (or 5266 counting only the distinct ones).

The product of its digits is 6249746160, while the sum is 84.

The spelling of 159979313979264 in words is "one hundred fifty-nine trillion, nine hundred seventy-nine billion, three hundred thirteen million, nine hundred seventy-nine thousand, two hundred sixty-four".