10686825172017 has 24 divisors (see below), whose sum is σ = 15557378192928. Its totient is φ = 7068792931200.

The previous prime is 10686825172007. The next prime is 10686825172021. The reversal of 10686825172017 is 71027152868601.

10686825172017 is a `hidden beast` number, since 1 + 0 + 68 + 68 + 2 + 517 + 2 + 0 + 1 + 7 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-10686825172017 is a prime.

It is a super-2 number, since 2×10686825172017² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10686825172007) 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 23 ways as a sum of consecutive naturals, for example, 5220153 + ... + 6973065.

It is an arithmetic number, because the mean of its divisors is an integer number (648224091372).

Almost surely, 2^{10686825172017} is an apocalyptic number.

It is an amenable number.

10686825172017 is a deficient number, since it is larger than the sum of its proper divisors (4870553020911).

10686825172017 is a wasteful number, since it uses less digits than its factorization.

10686825172017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1758221 (or 1758218 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 10686825172017 in words is "ten trillion, six hundred eighty-six billion, eight hundred twenty-five million, one hundred seventy-two thousand, seventeen".