27771761405045 has 16 divisors (see below), whose sum is σ = 38087126837760. Its totient is φ = 19043423650944.

The previous prime is 27771761405009. The next prime is 27771761405057. The reversal of 27771761405045 is 54050416717772.

It is a happy number.

It is not a de Polignac number, because 27771761405045 - 2⁸ = 27771761404789 is a prime.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 9346841 + ... + 11954369.

It is an arithmetic number, because the mean of its divisors is an integer number (2380445427360).

Almost surely, 2^{27771761405045} is an apocalyptic number.

It is an amenable number.

27771761405045 is a deficient number, since it is larger than the sum of its proper divisors (10315365432715).

27771761405045 is a wasteful number, since it uses less digits than its factorization.

27771761405045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2911844.

The product of its (nonzero) digits is 11524800, while the sum is 56.

The spelling of 27771761405045 in words is "twenty-seven trillion, seven hundred seventy-one billion, seven hundred sixty-one million, four hundred five thousand, forty-five".