27738272385 has 24 divisors (see below), whose sum is σ = 48102171624. Its totient is φ = 14786822400.

The previous prime is 27738272351. The next prime is 27738272407. The reversal of 27738272385 is 58327283772.

27738272385 is a `hidden beast` number, since 27 + 7 + 382 + 7 + 238 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15023376 + 27723249009 = 3876^2 + 166503^2 .

It is not a de Polignac number, because 27738272385 - 2¹⁴ = 27738256001 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46266 + ... + 240035.

It is an arithmetic number, because the mean of its divisors is an integer number (2004257151).

Almost surely, 2^27738272385 is an apocalyptic number.

It is an amenable number.

27738272385 is a deficient number, since it is larger than the sum of its proper divisors (20363899239).

27738272385 is a wasteful number, since it uses less digits than its factorization.

27738272385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288465 (or 288462 counting only the distinct ones).

The product of its digits is 7902720, while the sum is 54.

The spelling of 27738272385 in words is "twenty-seven billion, seven hundred thirty-eight million, two hundred seventy-two thousand, three hundred eighty-five".