159972416016 has 240 divisors, whose sum is σ = 491211864000. Its totient is φ = 44715181056.

The previous prime is 159972415991. The next prime is 159972416047. The reversal of 159972416016 is 610614279951.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 159972416016.

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 47 ways as a sum of consecutive naturals, for example, 48489535 + ... + 48492833.

It is an arithmetic number, because the mean of its divisors is an integer number (2046716100).

Almost surely, 2^159972416016 is an apocalyptic number.

159972416016 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 159972416016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245605932000).

159972416016 is an abundant number, since it is smaller than the sum of its proper divisors (331239447984).

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

159972416016 is a wasteful number, since it uses less digits than its factorization.

159972416016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3766 (or 3753 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 51.

The spelling of 159972416016 in words is "one hundred fifty-nine billion, nine hundred seventy-two million, four hundred sixteen thousand, sixteen".