12716080097952 has 768 divisors, whose sum is σ = 44838562922496. Its totient is φ = 3059417088000.

The previous prime is 12716080097933. The next prime is 12716080097953. The reversal of 12716080097952 is 25979008061721.

12716080097952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12716080097892 and 12716080097901.

It is not an unprimeable number, because it can be changed into a prime (12716080097953) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 497934528 + ... + 497960064.

It is an arithmetic number, because the mean of its divisors is an integer number (58383545472).

Almost surely, 2^{12716080097952} is an apocalyptic number.

12716080097952 is a gapful number since it is divisible by the number (12) 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 12716080097952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22419281461248).

12716080097952 is an abundant number, since it is smaller than the sum of its proper divisors (32122482824544).

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

12716080097952 is a wasteful number, since it uses less digits than its factorization.

12716080097952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25693 (or 25685 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 57.

The spelling of 12716080097952 in words is "twelve trillion, seven hundred sixteen billion, eighty million, ninety-seven thousand, nine hundred fifty-two".