27776400125 has 8 divisors (see below), whose sum is σ = 34664947512. Its totient is φ = 22221120000.

The previous prime is 27776400107. The next prime is 27776400151. The reversal of 27776400125 is 52100467772.

It can be written as a sum of positive squares in 4 ways, for example, as 1231518649 + 26544881476 = 35093^2 + 162926^2 .

It is not a de Polignac number, because 27776400125 - 2¹² = 27776396029 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 (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111105476 + ... + 111105725.

It is an arithmetic number, because the mean of its divisors is an integer number (4333118439).

Almost surely, 2^27776400125 is an apocalyptic number.

27776400125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

27776400125 is a deficient number, since it is larger than the sum of its proper divisors (6888547387).

27776400125 is an equidigital number, since it uses as much as digits as its factorization.

27776400125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222211216 (or 222211206 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 41.

Adding to 27776400125 its reverse (52100467772), we get a palindrome (79876867897).

The spelling of 27776400125 in words is "twenty-seven billion, seven hundred seventy-six million, four hundred thousand, one hundred twenty-five".