27777648385 has 16 divisors (see below), whose sum is σ = 33938555472. Its totient is φ = 21819801600.

The previous prime is 27777648331. The next prime is 27777648391. The reversal of 27777648385 is 58384677772.

It can be written as a sum of positive squares in 8 ways, for example, as 3436656129 + 24340992256 = 58623^2 + 156016^2 .

It is not a de Polignac number, because 27777648385 - 2¹⁵ = 27777615617 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97065 + ... + 254905.

It is an arithmetic number, because the mean of its divisors is an integer number (2121159717).

Almost surely, 2^27777648385 is an apocalyptic number.

It is an amenable number.

27777648385 is a deficient number, since it is larger than the sum of its proper divisors (6160907087).

27777648385 is a wasteful number, since it uses less digits than its factorization.

27777648385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158484.

The product of its digits is 110638080, while the sum is 64.

The spelling of 27777648385 in words is "twenty-seven billion, seven hundred seventy-seven million, six hundred forty-eight thousand, three hundred eighty-five".