27768508129 has 2 divisors, whose sum is σ = 27768508130. Its totient is φ = 27768508128.

The previous prime is 27768508123. The next prime is 27768508153. The reversal of 27768508129 is 92180586772.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 17572153600 + 10196354529 = 132560^2 + 100977^2 .

It is a cyclic number.

It is not a de Polignac number, because 27768508129 - 2²³ = 27760119521 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 27768508129.

It is not a weakly prime, because it can be changed into another prime (27768508123) 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 as a sum of consecutive naturals, namely, 13884254064 + 13884254065.

It is an arithmetic number, because the mean of its divisors is an integer number (13884254065).

Almost surely, 2^27768508129 is an apocalyptic number.

It is an amenable number.

27768508129 is a deficient number, since it is larger than the sum of its proper divisors (1).

27768508129 is an equidigital number, since it uses as much as digits as its factorization.

27768508129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3386880, while the sum is 55.

The spelling of 27768508129 in words is "twenty-seven billion, seven hundred sixty-eight million, five hundred eight thousand, one hundred twenty-nine".