159779501160 has 128 divisors (see below), whose sum is σ = 482962072320. Its totient is φ = 42286579712.

The previous prime is 159779501129. The next prime is 159779501171. The reversal of 159779501160 is 61105977951.

159779501160 is a nontrivial binomial coefficient, being equal to C(565296, 2).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13561192 + ... + 13572968.

It is an arithmetic number, because the mean of its divisors is an integer number (3773141190).

Almost surely, 2^159779501160 is an apocalyptic number.

159779501160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

159779501160 is the 565295-th triangular number and also the 282648-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 159779501160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241481036160).

159779501160 is an abundant number, since it is smaller than the sum of its proper divisors (323182571160).

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

159779501160 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (159779501159) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (12635).

159779501160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12635 (or 12631 counting only the distinct ones).

The product of its (nonzero) digits is 595350, while the sum is 51.

The spelling of 159779501160 in words is "one hundred fifty-nine billion, seven hundred seventy-nine million, five hundred one thousand, one hundred sixty".