159895959552 has 864 divisors, whose sum is σ = 570951763200. Its totient is φ = 44562825216.

The previous prime is 159895959521. The next prime is 159895959607. The reversal of 159895959552 is 255959598951.

159895959552 is a `hidden beast` number, since 15 + 9 + 8 + 9 + 5 + 9 + 59 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1926457303 + ... + 1926457385.

It is an arithmetic number, because the mean of its divisors is an integer number (660823800).

Almost surely, 2^159895959552 is an apocalyptic number.

159895959552 is a gapful number since it is divisible by the number (12) 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 159895959552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285475881600).

159895959552 is an abundant number, since it is smaller than the sum of its proper divisors (411055803648).

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

159895959552 is an frugal number, since it uses more digits than its factorization.

159895959552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 174 counting only the distinct ones).

The product of its digits is 328050000, while the sum is 72.

The spelling of 159895959552 in words is "one hundred fifty-nine billion, eight hundred ninety-five million, nine hundred fifty-nine thousand, five hundred fifty-two".