12686552320 has 144 divisors (see below), whose sum is σ = 34449085440. Its totient is φ = 4437614592.

The previous prime is 12686552279. The next prime is 12686552321. The reversal of 12686552320 is 2325568621.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12686552321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 296097 + ... + 336223.

It is an arithmetic number, because the mean of its divisors is an integer number (239229760).

Almost surely, 2^12686552320 is an apocalyptic number.

12686552320 is a gapful number since it is divisible by the number (10) 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 12686552320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17224542720).

12686552320 is an abundant number, since it is smaller than the sum of its proper divisors (21762533120).

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

12686552320 is a wasteful number, since it uses less digits than its factorization.

12686552320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40180 (or 40166 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The spelling of 12686552320 in words is "twelve billion, six hundred eighty-six million, five hundred fifty-two thousand, three hundred twenty".