27741167761 has 2 divisors, whose sum is σ = 27741167762. Its totient is φ = 27741167760.

The previous prime is 27741167743. The next prime is 27741167801. The reversal of 27741167761 is 16776114772.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 26239140225 + 1502027536 = 161985^2 + 38756^2 .

It is a cyclic number.

It is not a de Polignac number, because 27741167761 - 2⁷ = 27741167633 is a prime.

It is not a weakly prime, because it can be changed into another prime (27741167561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13870583880 + 13870583881.

It is an arithmetic number, because the mean of its divisors is an integer number (13870583881).

Almost surely, 2^27741167761 is an apocalyptic number.

It is an amenable number.

27741167761 is a deficient number, since it is larger than the sum of its proper divisors (1).

27741167761 is an equidigital number, since it uses as much as digits as its factorization.

27741167761 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 691488, while the sum is 49.

The spelling of 27741167761 in words is "twenty-seven billion, seven hundred forty-one million, one hundred sixty-seven thousand, seven hundred sixty-one".