27577305600049 has 2 divisors, whose sum is σ = 27577305600050. Its totient is φ = 27577305600048.

The previous prime is 27577305599981. The next prime is 27577305600109. The reversal of 27577305600049 is 94000650377572.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27547728479649 + 29577120400 = 5248593^2 + 171980^2 .

It is a cyclic number.

It is not a de Polignac number, because 27577305600049 - 2³⁹ = 27027549786161 is a prime.

It is not a weakly prime, because it can be changed into another prime (27577305660049) by changing a digit.

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 as a sum of consecutive naturals, namely, 13788652800024 + 13788652800025.

It is an arithmetic number, because the mean of its divisors is an integer number (13788652800025).

Almost surely, 2^{27577305600049} is an apocalyptic number.

It is an amenable number.

27577305600049 is a deficient number, since it is larger than the sum of its proper divisors (1).

27577305600049 is an equidigital number, since it uses as much as digits as its factorization.

27577305600049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11113200, while the sum is 55.

The spelling of 27577305600049 in words is "twenty-seven trillion, five hundred seventy-seven billion, three hundred five million, six hundred thousand, forty-nine".