10686825172071 has 24 divisors (see below), whose sum is σ = 15484930362720. Its totient is φ = 7102243754496.

The previous prime is 10686825172021. The next prime is 10686825172159. The reversal of 10686825172071 is 17027152868601.

10686825172071 is a `hidden beast` number, since 1 + 0 + 68 + 68 + 2 + 517 + 2 + 0 + 7 + 1 = 666.

It is not a de Polignac number, because 10686825172071 - 2⁶ = 10686825172007 is a prime.

It is a super-2 number, since 2×10686825172071² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10686825171999 and 10686825172017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10686825172021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2287711 + ... + 5158223.

It is an arithmetic number, because the mean of its divisors is an integer number (645205431780).

Almost surely, 2^{10686825172071} is an apocalyptic number.

10686825172071 is a deficient number, since it is larger than the sum of its proper divisors (4798105190649).

10686825172071 is a wasteful number, since it uses less digits than its factorization.

10686825172071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2871815 (or 2871812 counting only the distinct ones).

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

The spelling of 10686825172071 in words is "ten trillion, six hundred eighty-six billion, eight hundred twenty-five million, one hundred seventy-two thousand, seventy-one".