12785284864 has 144 divisors (see below), whose sum is σ = 28943824896. Its totient is φ = 5583974400.

The previous prime is 12785284829. The next prime is 12785284903. The reversal of 12785284864 is 46848258721.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14577994 + ... + 14578870.

It is an arithmetic number, because the mean of its divisors is an integer number (200998784).

Almost surely, 2^12785284864 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 12785284864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14471912448).

12785284864 is an abundant number, since it is smaller than the sum of its proper divisors (16158540032).

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

12785284864 is a wasteful number, since it uses less digits than its factorization.

12785284864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102 (or 1088 counting only the distinct ones).

The product of its digits is 6881280, while the sum is 55.

The spelling of 12785284864 in words is "twelve billion, seven hundred eighty-five million, two hundred eighty-four thousand, eight hundred sixty-four".