27105675741 has 6 divisors (see below), whose sum is σ = 39152642750. Its totient is φ = 18070450488.

The previous prime is 27105675733. The next prime is 27105675749. The reversal of 27105675741 is 14757650172.

27105675741 is a `hidden beast` number, since 2 + 7 + 10 + 5 + 67 + 574 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (27105675733) and next prime (27105675749).

It can be written as a sum of positive squares in only one way, i.e., 26812752516 + 292923225 = 163746^2 + 17115^2 .

It is not a de Polignac number, because 27105675741 - 2³ = 27105675733 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27105675749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1505870866 + ... + 1505870883.

Almost surely, 2^27105675741 is an apocalyptic number.

It is an amenable number.

27105675741 is a deficient number, since it is larger than the sum of its proper divisors (12046967009).

27105675741 is a wasteful number, since it uses less digits than its factorization.

27105675741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3011741755 (or 3011741752 counting only the distinct ones).

The product of its (nonzero) digits is 411600, while the sum is 45.

The spelling of 27105675741 in words is "twenty-seven billion, one hundred five million, six hundred seventy-five thousand, seven hundred forty-one".