10829682677 has 8 divisors (see below), whose sum is σ = 11825782752. Its totient is φ = 9835513200.

The previous prime is 10829682671. The next prime is 10829682679. The reversal of 10829682677 is 77628692801.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10829682677 - 2²⁰ = 10828634101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10829682671) 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 in 7 ways as a sum of consecutive naturals, for example, 470903 + ... + 493364.

It is an arithmetic number, because the mean of its divisors is an integer number (1478222844).

Almost surely, 2^10829682677 is an apocalyptic number.

It is an amenable number.

10829682677 is a deficient number, since it is larger than the sum of its proper divisors (996100075).

10829682677 is a wasteful number, since it uses less digits than its factorization.

10829682677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965299.

The product of its (nonzero) digits is 4064256, while the sum is 56.

The spelling of 10829682677 in words is "ten billion, eight hundred twenty-nine million, six hundred eighty-two thousand, six hundred seventy-seven".