12530691840576 has 448 divisors, whose sum is σ = 41185872838656. Its totient is φ = 3274076160000.

The previous prime is 12530691840529. The next prime is 12530691840607. The reversal of 12530691840576 is 67504819603521.

12530691840576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

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, 1010451976 + ... + 1010464376.

It is an arithmetic number, because the mean of its divisors is an integer number (91932751872).

It is a 1-persistent number, because it is pandigital, but 2⋅12530691840576 = 25061383681152 is not.

Almost surely, 2^{12530691840576} is an apocalyptic number.

12530691840576 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 12530691840576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20592936419328).

12530691840576 is an abundant number, since it is smaller than the sum of its proper divisors (28655180998080).

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

12530691840576 is a wasteful number, since it uses less digits than its factorization.

12530691840576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12970 (or 12960 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 57.

The spelling of 12530691840576 in words is "twelve trillion, five hundred thirty billion, six hundred ninety-one million, eight hundred forty thousand, five hundred seventy-six".