12686291280 has 560 divisors, whose sum is σ = 49352622480. Its totient is φ = 3009871872.

The previous prime is 12686291249. The next prime is 12686291281. The reversal of 12686291280 is 8219268621.

12686291280 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 629 + 12 + 8 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 118984464 + 12567306816 = 10908^2 + 112104^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12686291281) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 21986352 + ... + 21986928.

It is an arithmetic number, because the mean of its divisors is an integer number (88129683).

Almost surely, 2^12686291280 is an apocalyptic number.

12686291280 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 12686291280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24676311240).

12686291280 is an abundant number, since it is smaller than the sum of its proper divisors (36666331200).

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

12686291280 is a wasteful number, since it uses less digits than its factorization.

12686291280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 12686291280 in words is "twelve billion, six hundred eighty-six million, two hundred ninety-one thousand, two hundred eighty".