12707552789568 has 2016 divisors, whose sum is σ = 50079258378240. Its totient is φ = 3041851760640.

The previous prime is 12707552789563. The next prime is 12707552789611. The reversal of 12707552789568 is 86598725570721.

12707552789568 is a `hidden beast` number, since 1 + 2 + 7 + 0 + 7 + 5 + 52 + 7 + 8 + 9 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×12707552789568² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 12707552789496 and 12707552789505.

It is not an unprimeable number, because it can be changed into a prime (12707552789563) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 27446118105 + ... + 27446118567.

Almost surely, 2^{12707552789568} is an apocalyptic number.

12707552789568 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 12707552789568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25039629189120).

12707552789568 is an abundant number, since it is smaller than the sum of its proper divisors (37371705588672).

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

12707552789568 is a wasteful number, since it uses less digits than its factorization.

12707552789568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 592704000, while the sum is 72.

The spelling of 12707552789568 in words is "twelve trillion, seven hundred seven billion, five hundred fifty-two million, seven hundred eighty-nine thousand, five hundred sixty-eight".