15956263106816 has 288 divisors, whose sum is σ = 33718049003520. Its totient is φ = 7526434406400.

The previous prime is 15956263106813. The next prime is 15956263106831. The reversal of 15956263106816 is 61860136265951.

It is not an unprimeable number, because it can be changed into a prime (15956263106813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28042641380 + ... + 28042641948.

It is an arithmetic number, because the mean of its divisors is an integer number (117076559040).

Almost surely, 2^{15956263106816} is an apocalyptic number.

15956263106816 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 15956263106816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16859024501760).

15956263106816 is an abundant number, since it is smaller than the sum of its proper divisors (17761785896704).

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

15956263106816 is a wasteful number, since it uses less digits than its factorization.

15956263106816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 59.

The spelling of 15956263106816 in words is "fifteen trillion, nine hundred fifty-six billion, two hundred sixty-three million, one hundred six thousand, eight hundred sixteen".