159940719075168 has 288 divisors, whose sum is σ = 475157067840000. Its totient is φ = 50936496703488.

The previous prime is 159940719075133. The next prime is 159940719075187. The reversal of 159940719075168 is 861570917049951.

159940719075168 is a `hidden beast` number, since 1 + 5 + 9 + 9 + 407 + 1 + 90 + 75 + 1 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 159940719075096 and 159940719075105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29624134933 + ... + 29624140331.

It is an arithmetic number, because the mean of its divisors is an integer number (1649850930000).

Almost surely, 2^{159940719075168} is an apocalyptic number.

159940719075168 is a gapful number since it is divisible by the number (18) 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 159940719075168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237578533920000).

159940719075168 is an abundant number, since it is smaller than the sum of its proper divisors (315216348764832).

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

159940719075168 is a wasteful number, since it uses less digits than its factorization.

159940719075168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9794 (or 9783 counting only the distinct ones).

The product of its (nonzero) digits is 171460800, while the sum is 72.

The spelling of 159940719075168 in words is "one hundred fifty-nine trillion, nine hundred forty billion, seven hundred nineteen million, seventy-five thousand, one hundred sixty-eight".