859379058729 has 135 divisors (see below), whose sum is σ = 1399517645493. Its totient is φ = 525424071168.

The previous prime is 859379058709. The next prime is 859379058737. The reversal of 859379058729 is 927850973958.

The square root of 859379058729 is 927027.

It is a perfect power (a square), and thus also a powerful number.

859379058729 is a `hidden beast` number, since 8 + 5 + 9 + 37 + 9 + 0 + 587 + 2 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 108522148329 + 750856910400 = 329427^2 + 866520^2 .

It is not a de Polignac number, because 859379058729 - 2⁵ = 859379058697 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (859379058709) 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 134 ways as a sum of consecutive naturals, for example, 10353964522 + ... + 10353964604.

Almost surely, 2^859379058729 is an apocalyptic number.

859379058729 is the 927027-th square number.

859379058729 is the 463514-th centered octagonal number.

It is an amenable number.

859379058729 is a deficient number, since it is larger than the sum of its proper divisors (540138586764).

859379058729 is an frugal number, since it uses more digits than its factorization.

859379058729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 342921600, while the sum is 72.

The spelling of 859379058729 in words is "eight hundred fifty-nine billion, three hundred seventy-nine million, fifty-eight thousand, seven hundred twenty-nine".