27765605210125 has 16 divisors (see below), whose sum is σ = 34795257395184. Its totient is φ = 22120316160000.

The previous prime is 27765605210113. The next prime is 27765605210143. The reversal of 27765605210125 is 52101250656772.

It can be written as a sum of positive squares in 8 ways, for example, as 373842976329 + 27391762233796 = 611427^2 + 5233714^2 .

It is not a de Polignac number, because 27765605210125 - 2¹⁹ = 27765604685837 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 460809796 + ... + 460870045.

It is an arithmetic number, because the mean of its divisors is an integer number (2174703587199).

Almost surely, 2^{27765605210125} is an apocalyptic number.

27765605210125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

27765605210125 is a deficient number, since it is larger than the sum of its proper divisors (7029652185059).

27765605210125 is an equidigital number, since it uses as much as digits as its factorization.

27765605210125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921680097 (or 921680087 counting only the distinct ones).

The product of its (nonzero) digits is 1764000, while the sum is 49.

Adding to 27765605210125 its reverse (52101250656772), we get a palindrome (79866855866897).

The spelling of 27765605210125 in words is "twenty-seven trillion, seven hundred sixty-five billion, six hundred five million, two hundred ten thousand, one hundred twenty-five".