27105676301729 has 2 divisors, whose sum is σ = 27105676301730. Its totient is φ = 27105676301728.

The previous prime is 27105676301653. The next prime is 27105676301779. The reversal of 27105676301729 is 92710367650172.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26857425232225 + 248251069504 = 5182415^2 + 498248^2 .

It is a cyclic number.

It is not a de Polignac number, because 27105676301729 - 2²⁴ = 27105659524513 is a prime.

It is a super-2 number, since 2×27105676301729² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (27105676301779) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13552838150864 + 13552838150865.

It is an arithmetic number, because the mean of its divisors is an integer number (13552838150865).

Almost surely, 2^{27105676301729} is an apocalyptic number.

It is an amenable number.

27105676301729 is a deficient number, since it is larger than the sum of its proper divisors (1).

27105676301729 is an equidigital number, since it uses as much as digits as its factorization.

27105676301729 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6667920, while the sum is 56.

The spelling of 27105676301729 in words is "twenty-seven trillion, one hundred five billion, six hundred seventy-six million, three hundred one thousand, seven hundred twenty-nine".