12715613304576 has 576 divisors, whose sum is σ = 45029130316800. Its totient is φ = 3091186188288.

The previous prime is 12715613304551. The next prime is 12715613304599. The reversal of 12715613304576 is 67540331651721.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49001860 + ... + 49260668.

Almost surely, 2^{12715613304576} is an apocalyptic number.

12715613304576 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 12715613304576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22514565158400).

12715613304576 is an abundant number, since it is smaller than the sum of its proper divisors (32313517012224).

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

12715613304576 is a wasteful number, since it uses less digits than its factorization.

12715613304576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258904 (or 258890 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 51.

The spelling of 12715613304576 in words is "twelve trillion, seven hundred fifteen billion, six hundred thirteen million, three hundred four thousand, five hundred seventy-six".