27783889225 has 81 divisors (see below), whose sum is σ = 38336769597. Its totient is φ = 19970196480.

The previous prime is 27783889223. The next prime is 27783889229. The reversal of 27783889225 is 52298838772.

The square root of 27783889225 is 166685.

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

It can be written as a sum of positive squares in 40 ways, for example, as 12448534329 + 15335354896 = 111573^2 + 123836^2 .

It is not a de Polignac number, because 27783889225 - 2¹ = 27783889223 is a prime.

It is a super-2 number, since 2×27783889225² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

Its product of digits (27095040) is a multiple of the sum of its prime divisors (112).

It is not an unprimeable number, because it can be changed into a prime (27783889223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 524224299 + ... + 524224351.

Almost surely, 2^27783889225 is an apocalyptic number.

27783889225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

27783889225 is the 166685-th square number.

27783889225 is the 83343-rd centered octagonal number.

It is an amenable number.

27783889225 is a deficient number, since it is larger than the sum of its proper divisors (10552880372).

27783889225 is an equidigital number, since it uses as much as digits as its factorization.

27783889225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 112 counting only the distinct ones).

The product of its digits is 27095040, while the sum is 61.

The spelling of 27783889225 in words is "twenty-seven billion, seven hundred eighty-three million, eight hundred eighty-nine thousand, two hundred twenty-five".