159786150789120 has 288 divisors, whose sum is σ = 511486626853440. Its totient is φ = 42595233300480.

The previous prime is 159786150789113. The next prime is 159786150789149. The reversal of 159786150789120 is 21987051687951.

It is a super-2 number, since 2×159786150789120² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6627643626 + ... + 6627667734.

It is an arithmetic number, because the mean of its divisors is an integer number (1775995232130).

Almost surely, 2^{159786150789120} is an apocalyptic number.

159786150789120 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 159786150789120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255743313426720).

159786150789120 is an abundant number, since it is smaller than the sum of its proper divisors (351700476064320).

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

159786150789120 is an frugal number, since it uses more digits than its factorization.

159786150789120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27522 (or 27490 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 69.

The spelling of 159786150789120 in words is "one hundred fifty-nine trillion, seven hundred eighty-six billion, one hundred fifty million, seven hundred eighty-nine thousand, one hundred twenty".