159893406960 has 160 divisors (see below), whose sum is σ = 566842862592. Its totient is φ = 36523622400.

The previous prime is 159893406833. The next prime is 159893406977. The reversal of 159893406960 is 69604398951.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 159893406894 and 159893406903.

It is a congruent number.

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, 2659957 + ... + 2719403.

Almost surely, 2^159893406960 is an apocalyptic number.

159893406960 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 159893406960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283421431296).

159893406960 is an abundant number, since it is smaller than the sum of its proper divisors (406949455632).

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

159893406960 is a wasteful number, since it uses less digits than its factorization.

159893406960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61071 (or 61065 counting only the distinct ones).

The product of its (nonzero) digits is 12597120, while the sum is 60.

The spelling of 159893406960 in words is "one hundred fifty-nine billion, eight hundred ninety-three million, four hundred six thousand, nine hundred sixty".