159871795200 has 864 divisors, whose sum is σ = 637112347200. Its totient is φ = 39069941760.

The previous prime is 159871795169. The next prime is 159871795207. The reversal of 159871795200 is 2597178951.

159871795200 is a `hidden beast` number, since 15 + 98 + 7 + 17 + 9 + 520 + 0 = 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 (54).

It is not an unprimeable number, because it can be changed into a prime (159871795207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1150156731 + ... + 1150156869.

It is an arithmetic number, because the mean of its divisors is an integer number (737398550).

Almost surely, 2^159871795200 is an apocalyptic number.

159871795200 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 159871795200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318556173600).

159871795200 is an abundant number, since it is smaller than the sum of its proper divisors (477240552000).

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

159871795200 is an equidigital number, since it uses as much as digits as its factorization.

159871795200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 54.

The spelling of 159871795200 in words is "one hundred fifty-nine billion, eight hundred seventy-one million, seven hundred ninety-five thousand, two hundred".