12710186496 has 640 divisors, whose sum is σ = 46930329600. Its totient is φ = 3314442240.

The previous prime is 12710186479. The next prime is 12710186521. The reversal of 12710186496 is 69468101721.

12710186496 is a `hidden beast` number, since 12 + 71 + 0 + 1 + 86 + 496 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56996241 + ... + 56996463.

It is an arithmetic number, because the mean of its divisors is an integer number (73328640).

Almost surely, 2^12710186496 is an apocalyptic number.

12710186496 is a gapful number since it is divisible by the number (16) 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 12710186496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23465164800).

12710186496 is an abundant number, since it is smaller than the sum of its proper divisors (34220143104).

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

12710186496 is a wasteful number, since it uses less digits than its factorization.

12710186496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 12710186496 in words is "twelve billion, seven hundred ten million, one hundred eighty-six thousand, four hundred ninety-six".