27646765759601 has 2 divisors, whose sum is σ = 27646765759602. Its totient is φ = 27646765759600.

The previous prime is 27646765759567. The next prime is 27646765759633. The reversal of 27646765759601 is 10695756764672.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21289005228001 + 6357760531600 = 4614001^2 + 2521460^2 .

It is a cyclic number.

It is not a de Polignac number, because 27646765759601 - 2⁴² = 23248719248497 is a prime.

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 (27646765755601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13823382879800 + 13823382879801.

It is an arithmetic number, because the mean of its divisors is an integer number (13823382879801).

Almost surely, 2^{27646765759601} is an apocalyptic number.

It is an amenable number.

27646765759601 is a deficient number, since it is larger than the sum of its proper divisors (1).

27646765759601 is an equidigital number, since it uses as much as digits as its factorization.

27646765759601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 800150400, while the sum is 71.

The spelling of 27646765759601 in words is "twenty-seven trillion, six hundred forty-six billion, seven hundred sixty-five million, seven hundred fifty-nine thousand, six hundred one".