10679399164225 has 27 divisors (see below), whose sum is σ = 14556001262761. Its totient is φ = 7766705038400.

The previous prime is 10679399164177. The next prime is 10679399164249. The reversal of 10679399164225 is 52246199397601.

The square root of 10679399164225 is 3267935.

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

It can be written as a sum of positive squares in 4 ways, for example, as 200997098929 + 10478402065296 = 448327^2 + 3237036^2 .

It is not a de Polignac number, because 10679399164225 - 2¹⁹ = 10679398639937 is a prime.

It is a super-2 number, since 2×10679399164225² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 179706717 + ... + 179766133.

Almost surely, 2^{10679399164225} is an apocalyptic number.

10679399164225 is the 3267935-th square number.

10679399164225 is the 1633968-th centered octagonal number.

It is an amenable number.

10679399164225 is a deficient number, since it is larger than the sum of its proper divisors (3876602098536).

10679399164225 is an frugal number, since it uses more digits than its factorization.

10679399164225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118866 (or 59433 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 64.

Multiplying 10679399164225 by its sum of digits (64), we get a square (683481546510400 = 26143480²).

The spelling of 10679399164225 in words is "ten trillion, six hundred seventy-nine billion, three hundred ninety-nine million, one hundred sixty-four thousand, two hundred twenty-five".