10286920826329 has 9 divisors (see below), whose sum is σ = 11966444220927. Its totient is φ = 8817341464344.

The previous prime is 10286920826323. The next prime is 10286920826339. The reversal of 10286920826329 is 92362802968201.

The square root of 10286920826329 is 3207323.

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

It can be written as a sum of positive squares in only one way, i.e., 23739721929 + 10263181104400 = 154077^2 + 3203620^2 .

It is not a de Polignac number, because 10286920826329 - 2⁹ = 10286920825817 is a prime.

It is a super-2 number, since 2×10286920826329² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10286920826323) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 22222167 + ... + 22680355.

Almost surely, 2^{10286920826329} is an apocalyptic number.

10286920826329 is the 3207323-rd square number.

10286920826329 is the 1603662-nd centered octagonal number.

It is an amenable number.

10286920826329 is a deficient number, since it is larger than the sum of its proper divisors (1679523394598).

10286920826329 is an frugal number, since it uses more digits than its factorization.

10286920826329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916392 (or 458196 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 58.

The spelling of 10286920826329 in words is "ten trillion, two hundred eighty-six billion, nine hundred twenty million, eight hundred twenty-six thousand, three hundred twenty-nine".