27677959706849 has 2 divisors, whose sum is σ = 27677959706850. Its totient is φ = 27677959706848.

The previous prime is 27677959706843. The next prime is 27677959706927. The reversal of 27677959706849 is 94860795977672.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 25610279635600 + 2067680071249 = 5060660^2 + 1437943^2 .

It is a cyclic number.

It is not a de Polignac number, because 27677959706849 - 2¹² = 27677959702753 is a prime.

It is not a weakly prime, because it can be changed into another prime (27677959706843) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13838979853424 + 13838979853425.

It is an arithmetic number, because the mean of its divisors is an integer number (13838979853425).

Almost surely, 2^{27677959706849} is an apocalyptic number.

It is an amenable number.

27677959706849 is a deficient number, since it is larger than the sum of its proper divisors (1).

27677959706849 is an equidigital number, since it uses as much as digits as its factorization.

27677959706849 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 20163790080, while the sum is 86.

The spelling of 27677959706849 in words is "twenty-seven trillion, six hundred seventy-seven billion, nine hundred fifty-nine million, seven hundred six thousand, eight hundred forty-nine".