10829857959 has 24 divisors (see below), whose sum is σ = 15755248080. Its totient is φ = 7168232448.

The previous prime is 10829857903. The next prime is 10829858021. The reversal of 10829857959 is 95975892801.

10829857959 is a `hidden beast` number, since 1 + 0 + 8 + 2 + 9 + 8 + 579 + 59 = 666.

It is not a de Polignac number, because 10829857959 - 2¹⁵ = 10829825191 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10829857896 and 10829857905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10829857459) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2522887 + ... + 2527175.

It is an arithmetic number, because the mean of its divisors is an integer number (656468670).

Almost surely, 2^10829857959 is an apocalyptic number.

10829857959 is a deficient number, since it is larger than the sum of its proper divisors (4925390121).

10829857959 is a wasteful number, since it uses less digits than its factorization.

10829857959 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6239 (or 6236 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 63.

The spelling of 10829857959 in words is "ten billion, eight hundred twenty-nine million, eight hundred fifty-seven thousand, nine hundred fifty-nine".