27872638749 has 48 divisors (see below), whose sum is σ = 42555402240. Its totient is φ = 17553335040.

The previous prime is 27872638721. The next prime is 27872638751. The reversal of 27872638749 is 94783627872.

It is not a de Polignac number, because 27872638749 - 2⁷ = 27872638621 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27872638789) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5360619 + ... + 5365815.

It is an arithmetic number, because the mean of its divisors is an integer number (886570880).

Almost surely, 2^27872638749 is an apocalyptic number.

It is an amenable number.

27872638749 is a deficient number, since it is larger than the sum of its proper divisors (14682763491).

27872638749 is a wasteful number, since it uses less digits than its factorization.

27872638749 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5690 (or 5687 counting only the distinct ones).

The product of its digits is 56899584, while the sum is 63.

The spelling of 27872638749 in words is "twenty-seven billion, eight hundred seventy-two million, six hundred thirty-eight thousand, seven hundred forty-nine".