12729285816 has 128 divisors (see below), whose sum is σ = 34703665920. Its totient is φ = 3867531264.

The previous prime is 12729285791. The next prime is 12729285817. The reversal of 12729285816 is 61858292721.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12729285817) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19796391 + ... + 19797033.

It is an arithmetic number, because the mean of its divisors is an integer number (271122390).

Almost surely, 2^12729285816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12729285816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17351832960).

12729285816 is an abundant number, since it is smaller than the sum of its proper divisors (21974380104).

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

12729285816 is a wasteful number, since it uses less digits than its factorization.

12729285816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365 (or 1361 counting only the distinct ones).

The product of its digits is 967680, while the sum is 51.

The spelling of 12729285816 in words is "twelve billion, seven hundred twenty-nine million, two hundred eighty-five thousand, eight hundred sixteen".