159971868000 has 2304 divisors, whose sum is σ = 749318169600. Its totient is φ = 32920473600.

The previous prime is 159971867969. The next prime is 159971868029. The reversal of 159971868000 is 868179951.

159971868000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3720275979 + ... + 3720276021.

It is an arithmetic number, because the mean of its divisors is an integer number (325224900).

Almost surely, 2^159971868000 is an apocalyptic number.

159971868000 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 159971868000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374659084800).

159971868000 is an abundant number, since it is smaller than the sum of its proper divisors (589346301600).

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

159971868000 is a wasteful number, since it uses less digits than its factorization.

159971868000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 54.

The spelling of 159971868000 in words is "one hundred fifty-nine billion, nine hundred seventy-one million, eight hundred sixty-eight thousand".