159794087281920 has 2592 divisors, whose sum is σ = 717172413229440. Its totient is φ = 33577907650560.

The previous prime is 159794087281891. The next prime is 159794087281991. The reversal of 159794087281920 is 29182780497951.

159794087281920 is a `hidden beast` number, since 1 + 5 + 9 + 7 + 9 + 408 + 7 + 28 + 192 + 0 = 666.

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 287 ways as a sum of consecutive naturals, for example, 80419771167 + ... + 80419773153.

It is an arithmetic number, because the mean of its divisors is an integer number (276686887820).

Almost surely, 2^{159794087281920} is an apocalyptic number.

159794087281920 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 159794087281920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358586206614720).

159794087281920 is an abundant number, since it is smaller than the sum of its proper divisors (557378325947520).

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

159794087281920 is a wasteful number, since it uses less digits than its factorization.

159794087281920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2338 (or 2298 counting only the distinct ones).

The product of its (nonzero) digits is 182891520, while the sum is 72.

The spelling of 159794087281920 in words is "one hundred fifty-nine trillion, seven hundred ninety-four billion, eighty-seven million, two hundred eighty-one thousand, nine hundred twenty".