159945868642560 has 3456 divisors, whose sum is σ = 721443249192960. Its totient is φ = 29291043225600.

The previous prime is 159945868642513. The next prime is 159945868642577. The reversal of 159945868642560 is 65246868549951.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 122376333427 + ... + 122376334733.

It is an arithmetic number, because the mean of its divisors is an integer number (208750940160).

Almost surely, 2^{159945868642560} is an apocalyptic number.

159945868642560 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 159945868642560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360721624596480).

159945868642560 is an abundant number, since it is smaller than the sum of its proper divisors (561497380550400).

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

159945868642560 is a wasteful number, since it uses less digits than its factorization.

159945868642560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1485 (or 1458 counting only the distinct ones).

The product of its (nonzero) digits is 4478976000, while the sum is 78.

The spelling of 159945868642560 in words is "one hundred fifty-nine trillion, nine hundred forty-five billion, eight hundred sixty-eight million, six hundred forty-two thousand, five hundred sixty".