159191058900096 has 448 divisors, whose sum is σ = 492141401451000. Its totient is φ = 51207340326912.

The previous prime is 159191058900091. The next prime is 159191058900143. The reversal of 159191058900096 is 690009850191951.

It can be written as a sum of positive squares in 4 ways, for example, as 104731972370496 + 54459086529600 = 10233864^2 + 7379640^2 .

It is not an unprimeable number, because it can be changed into a prime (159191058900091) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 5598799096 + ... + 5598827528.

Almost surely, 2^{159191058900096} is an apocalyptic number.

159191058900096 is a gapful number since it is divisible by the number (16) 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 159191058900096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246070700725500).

159191058900096 is an abundant number, since it is smaller than the sum of its proper divisors (332950342550904).

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

159191058900096 is an equidigital number, since it uses as much as digits as its factorization.

159191058900096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30563 (or 30536 counting only the distinct ones).

The product of its (nonzero) digits is 7873200, while the sum is 63.

The spelling of 159191058900096 in words is "one hundred fifty-nine trillion, one hundred ninety-one billion, fifty-eight million, nine hundred thousand, ninety-six".