12586747460 has 96 divisors (see below), whose sum is σ = 30502241280. Its totient is φ = 4273619328.

The previous prime is 12586747427. The next prime is 12586747483. The reversal of 12586747460 is 6474768521.

It is a junction number, because it is equal to n+sod(n) for n = 12586747399 and 12586747408.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13290707 + ... + 13291653.

It is an arithmetic number, because the mean of its divisors is an integer number (317731680).

Almost surely, 2^12586747460 is an apocalyptic number.

12586747460 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 12586747460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15251120640).

12586747460 is an abundant number, since it is smaller than the sum of its proper divisors (17915493820).

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

12586747460 is a wasteful number, since it uses less digits than its factorization.

12586747460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1785 (or 1783 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 50.

The spelling of 12586747460 in words is "twelve billion, five hundred eighty-six million, seven hundred forty-seven thousand, four hundred sixty".