27779340502409 has 2 divisors, whose sum is σ = 27779340502410. Its totient is φ = 27779340502408.

The previous prime is 27779340502367. The next prime is 27779340502429. The reversal of 27779340502409 is 90420504397772.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 24274806740809 + 3504533761600 = 4926947^2 + 1872040^2 .

It is a cyclic number.

It is not a de Polignac number, because 27779340502409 - 2¹² = 27779340498313 is a prime.

It is a super-2 number, since 2×27779340502409² (a number of 28 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (27779340502429) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13889670251204 + 13889670251205.

It is an arithmetic number, because the mean of its divisors is an integer number (13889670251205).

Almost surely, 2^{27779340502409} is an apocalyptic number.

It is an amenable number.

27779340502409 is a deficient number, since it is larger than the sum of its proper divisors (1).

27779340502409 is an equidigital number, since it uses as much as digits as its factorization.

27779340502409 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 26671680, while the sum is 59.

The spelling of 27779340502409 in words is "twenty-seven trillion, seven hundred seventy-nine billion, three hundred forty million, five hundred two thousand, four hundred nine".