12406516460 has 72 divisors (see below), whose sum is σ = 28690608240. Its totient is φ = 4503153408.

The previous prime is 12406516403. The next prime is 12406516471. The reversal of 12406516460 is 6461560421.

It is a self number, because there is not a number n which added to its sum of digits gives 12406516460.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168314 + ... + 230526.

It is an arithmetic number, because the mean of its divisors is an integer number (398480670).

Almost surely, 2^12406516460 is an apocalyptic number.

12406516460 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 12406516460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14345304120).

12406516460 is an abundant number, since it is smaller than the sum of its proper divisors (16284091780).

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

12406516460 is a wasteful number, since it uses less digits than its factorization.

12406516460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62307 (or 62292 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The spelling of 12406516460 in words is "twelve billion, four hundred six million, five hundred sixteen thousand, four hundred sixty".