26779686025 has 27 divisors (see below), whose sum is σ = 34737769479. Its totient is φ = 20477880720.

The previous prime is 26779686023. The next prime is 26779686091. The reversal of 26779686025 is 52068697762.

The square root of 26779686025 is 163645.

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., 9640686969 + 17138999056 = 98187^2 + 130916^2 .

It is not a de Polignac number, because 26779686025 - 2¹ = 26779686023 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (26779686023) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 18818464 + ... + 18819886.

Almost surely, 2^26779686025 is an apocalyptic number.

26779686025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

26779686025 is the 163645-th square number.

26779686025 is the 81823-rd centered octagonal number.

It is an amenable number.

26779686025 is a deficient number, since it is larger than the sum of its proper divisors (7958083454).

26779686025 is an frugal number, since it uses more digits than its factorization.

26779686025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2902 (or 1451 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 58.

The spelling of 26779686025 in words is "twenty-six billion, seven hundred seventy-nine million, six hundred eighty-six thousand, twenty-five".