158509640960 has 288 divisors, whose sum is σ = 442295175168. Its totient is φ = 53846876160.

The previous prime is 158509640911. The next prime is 158509641001. The reversal of 158509640960 is 69046905851.

It is a happy number.

158509640960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13919429 + ... + 13930811.

It is an arithmetic number, because the mean of its divisors is an integer number (1535747136).

Almost surely, 2^158509640960 is an apocalyptic number.

158509640960 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 158509640960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221147587584).

158509640960 is an abundant number, since it is smaller than the sum of its proper divisors (283785534208).

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

158509640960 is a wasteful number, since it uses less digits than its factorization.

158509640960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11481 (or 11467 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 53.

The spelling of 158509640960 in words is "one hundred fifty-eight billion, five hundred nine million, six hundred forty thousand, nine hundred sixty".