27743899225 has 27 divisors (see below), whose sum is σ = 40027570047. Its totient is φ = 19020390480.

The previous prime is 27743899223. The next prime is 27743899231. The reversal of 27743899225 is 52299834772.

It is a happy number.

The square root of 27743899225 is 166565.

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., 9987803721 + 17756095504 = 99939^2 + 133252^2 .

It is not a de Polignac number, because 27743899225 - 2¹ = 27743899223 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 27743899225.

It is not an unprimeable number, because it can be changed into a prime (27743899223) 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 26 ways as a sum of consecutive naturals, for example, 5827396 + ... + 5832154.

Almost surely, 2^27743899225 is an apocalyptic number.

27743899225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

27743899225 is the 166565-th square number.

27743899225 is the 83283-rd centered octagonal number.

It is an amenable number.

27743899225 is a deficient number, since it is larger than the sum of its proper divisors (12283670822).

27743899225 is an frugal number, since it uses more digits than its factorization.

27743899225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9542 (or 4771 counting only the distinct ones).

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

The spelling of 27743899225 in words is "twenty-seven billion, seven hundred forty-three million, eight hundred ninety-nine thousand, two hundred twenty-five".