12789885264 has 640 divisors, whose sum is σ = 43197235200. Its totient is φ = 3211591680.

The previous prime is 12789885193. The next prime is 12789885271. The reversal of 12789885264 is 46258898721.

It is a junction number, because it is equal to n+sod(n) for n = 12789885198 and 12789885207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 143706532 + ... + 143706620.

It is an arithmetic number, because the mean of its divisors is an integer number (67495680).

Almost surely, 2^12789885264 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 12789885264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21598617600).

12789885264 is an abundant number, since it is smaller than the sum of its proper divisors (30407349936).

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

12789885264 is a wasteful number, since it uses less digits than its factorization.

12789885264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 197 counting only the distinct ones).

The product of its digits is 15482880, while the sum is 60.

The spelling of 12789885264 in words is "twelve billion, seven hundred eighty-nine million, eight hundred eighty-five thousand, two hundred sixty-four".