159885264188160 has 1728 divisors, whose sum is σ = 727367455825920. Its totient is φ = 31533902069760.

The previous prime is 159885264188147. The next prime is 159885264188189. The reversal of 159885264188160 is 61881462588951.

159885264188160 is a `hidden beast` number, since 1 + 5 + 9 + 8 + 8 + 526 + 4 + 1 + 88 + 16 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 807349314 + ... + 807547326.

It is an arithmetic number, because the mean of its divisors is an integer number (420930240640).

Almost surely, 2^{159885264188160} is an apocalyptic number.

159885264188160 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 159885264188160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363683727912960).

159885264188160 is an abundant number, since it is smaller than the sum of its proper divisors (567482191637760).

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

159885264188160 is a wasteful number, since it uses less digits than its factorization.

159885264188160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198114 (or 198097 counting only the distinct ones).

The product of its (nonzero) digits is 265420800, while the sum is 72.

The spelling of 159885264188160 in words is "one hundred fifty-nine trillion, eight hundred eighty-five billion, two hundred sixty-four million, one hundred eighty-eight thousand, one hundred sixty".