10086804496729 has 3 divisors (see below), whose sum is σ = 10086807672703. Its totient is φ = 10086801320756.

The previous prime is 10086804496709. The next prime is 10086804496733. The reversal of 10086804496729 is 92769440868001.

The square root of 10086804496729 is 3175973.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 2398673025225 + 7688131471504 = 1548765^2 + 2772748^2 .

It is not a de Polignac number, because 10086804496729 - 2⁵ = 10086804496697 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10086804496709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1587987 + ... + 4763959.

Almost surely, 2^{10086804496729} is an apocalyptic number.

10086804496729 is the 3175973-rd square number.

10086804496729 is the 1587987-th centered octagonal number.

It is an amenable number.

10086804496729 is a deficient number, since it is larger than the sum of its proper divisors (3175974).

10086804496729 is an frugal number, since it uses more digits than its factorization.

10086804496729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6351946 (or 3175973 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 64.

Multiplying 10086804496729 by its sum of digits (64), we get a square (645555487790656 = 25407784²).

The spelling of 10086804496729 in words is "ten trillion, eighty-six billion, eight hundred four million, four hundred ninety-six thousand, seven hundred twenty-nine".