10829682667 has 2 divisors, whose sum is σ = 10829682668. Its totient is φ = 10829682666.

The previous prime is 10829682653. The next prime is 10829682671. The reversal of 10829682667 is 76628692801.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10829682667 - 2¹⁵ = 10829649899 is a prime.

It is not a weakly prime, because it can be changed into another prime (10829682697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5414841333 + 5414841334.

It is an arithmetic number, because the mean of its divisors is an integer number (5414841334).

Almost surely, 2^10829682667 is an apocalyptic number.

10829682667 is a deficient number, since it is larger than the sum of its proper divisors (1).

10829682667 is an equidigital number, since it uses as much as digits as its factorization.

10829682667 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3483648, while the sum is 55.

The spelling of 10829682667 in words is "ten billion, eight hundred twenty-nine million, six hundred eighty-two thousand, six hundred sixty-seven".