27835743608077 has 2 divisors, whose sum is σ = 27835743608078. Its totient is φ = 27835743608076.

The previous prime is 27835743607981. The next prime is 27835743608089. The reversal of 27835743608077 is 77080634753872.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 14986235894436 + 12849507713641 = 3871206^2 + 3584621^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-27835743608077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (27835713608077) 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, 13917871804038 + 13917871804039.

It is an arithmetic number, because the mean of its divisors is an integer number (13917871804039).

Almost surely, 2^{27835743608077} is an apocalyptic number.

It is an amenable number.

27835743608077 is a deficient number, since it is larger than the sum of its proper divisors (1).

27835743608077 is an equidigital number, since it uses as much as digits as its factorization.

27835743608077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 331914240, while the sum is 67.

The spelling of 27835743608077 in words is "twenty-seven trillion, eight hundred thirty-five billion, seven hundred forty-three million, six hundred eight thousand, seventy-seven".