12513762679680 has 1536 divisors, whose sum is σ = 49368953088000. Its totient is φ = 3014851166208.

The previous prime is 12513762679609. The next prime is 12513762679687. The reversal of 12513762679680 is 8697626731521.

12513762679680 is a `hidden beast` number, since 1 + 2 + 513 + 7 + 6 + 26 + 7 + 96 + 8 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12513762679687) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17404398361 + ... + 17404399079.

It is an arithmetic number, because the mean of its divisors is an integer number (32141245500).

Almost surely, 2^{12513762679680} is an apocalyptic number.

12513762679680 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 12513762679680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24684476544000).

12513762679680 is an abundant number, since it is smaller than the sum of its proper divisors (36855190408320).

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

12513762679680 is a wasteful number, since it uses less digits than its factorization.

12513762679680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1026 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 12513762679680 in words is "twelve trillion, five hundred thirteen billion, seven hundred sixty-two million, six hundred seventy-nine thousand, six hundred eighty".