12707260397568 has 768 divisors, whose sum is σ = 42678868377600. Its totient is φ = 3700961280000.

The previous prime is 12707260397527. The next prime is 12707260397687. The reversal of 12707260397568 is 86579306270721.

12707260397568 is a `hidden beast` number, since 1 + 2 + 7 + 0 + 7 + 2 + 60 + 3 + 9 + 7 + 568 = 666.

12707260397568 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 (768).

It is a super-2 number, since 2×12707260397568² (a number of 27 digits) contains 22 as substring.

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, 2847244105 + ... + 2847248567.

It is an arithmetic number, because the mean of its divisors is an integer number (55571443200).

Almost surely, 2^{12707260397568} is an apocalyptic number.

12707260397568 is a gapful number since it is divisible by the number (18) 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 12707260397568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21339434188800).

12707260397568 is an abundant number, since it is smaller than the sum of its proper divisors (29971607980032).

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

12707260397568 is a wasteful number, since it uses less digits than its factorization.

12707260397568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4687 (or 4661 counting only the distinct ones).

The product of its (nonzero) digits is 53343360, while the sum is 63.

The spelling of 12707260397568 in words is "twelve trillion, seven hundred seven billion, two hundred sixty million, three hundred ninety-seven thousand, five hundred sixty-eight".