27814041872 has 20 divisors (see below), whose sum is σ = 53892843420. Its totient is φ = 13906211328.

The previous prime is 27814041859. The next prime is 27814041907.

27814041872 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 18841405696 + 8972636176 = 137264^2 + 94724^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 311228 + ... + 390500.

It is an arithmetic number, because the mean of its divisors is an integer number (2694642171).

Almost surely, 2^27814041872 is an apocalyptic number.

It is an amenable number.

27814041872 is a deficient number, since it is larger than the sum of its proper divisors (26078801548).

27814041872 is a wasteful number, since it uses less digits than its factorization.

27814041872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101210 (or 101204 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 44.

The spelling of 27814041872 in words is "twenty-seven billion, eight hundred fourteen million, forty-one thousand, eight hundred seventy-two".