27775505505 has 64 divisors (see below), whose sum is σ = 51841472256. Its totient is φ = 12549120000.

The previous prime is 27775505503. The next prime is 27775505551. The reversal of 27775505505 is 50550557772.

It is not a de Polignac number, because 27775505505 - 2¹ = 27775505503 is a prime.

27775505505 is a modest number, since divided by 505505 gives 27775 as remainder.

It is not an unprimeable number, because it can be changed into a prime (27775505501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 234285 + ... + 332325.

It is an arithmetic number, because the mean of its divisors is an integer number (810023004).

Almost surely, 2^27775505505 is an apocalyptic number.

It is an amenable number.

27775505505 is a deficient number, since it is larger than the sum of its proper divisors (24065966751).

27775505505 is a wasteful number, since it uses less digits than its factorization.

27775505505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98178.

The product of its (nonzero) digits is 2143750, while the sum is 48.

The spelling of 27775505505 in words is "twenty-seven billion, seven hundred seventy-five million, five hundred five thousand, five hundred five".