12806270934975 has 192 divisors, whose sum is σ = 27620432179200. Its totient is φ = 5694548935680.

The previous prime is 12806270934973. The next prime is 12806270935021. The reversal of 12806270934975 is 57943907260821.

12806270934975 is a `hidden beast` number, since 1 + 2 + 80 + 62 + 7 + 0 + 9 + 3 + 497 + 5 = 666.

It is not a de Polignac number, because 12806270934975 - 2¹ = 12806270934973 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12806270934973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 880935907 + ... + 880950443.

It is an arithmetic number, because the mean of its divisors is an integer number (143856417600).

It is a 1-persistent number, because it is pandigital, but 2⋅12806270934975 = 25612541869950 is not.

Almost surely, 2^{12806270934975} is an apocalyptic number.

12806270934975 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12806270934975 is an abundant number, since it is smaller than the sum of its proper divisors (14814161244225).

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

12806270934975 is a wasteful number, since it uses less digits than its factorization.

12806270934975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19639 (or 19628 counting only the distinct ones).

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

The spelling of 12806270934975 in words is "twelve trillion, eight hundred six billion, two hundred seventy million, nine hundred thirty-four thousand, nine hundred seventy-five".