27801054009 has 10 divisors (see below), whose sum is σ = 41529969690. Its totient is φ = 18534035952.

The previous prime is 27801054007. The next prime is 27801054019. The reversal of 27801054009 is 90045010872.

27801054009 is a `hidden beast` number, since 27 + 80 + 10 + 540 + 0 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 18388173609 + 9412880400 = 135603^2 + 97020^2 .

It is not a de Polignac number, because 27801054009 - 2¹ = 27801054007 is a prime.

It is a super-2 number, since 2×27801054009² (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (27801054007) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 171611364 + ... + 171611525.

It is an arithmetic number, because the mean of its divisors is an integer number (4152996969).

Almost surely, 2^27801054009 is an apocalyptic number.

It is an amenable number.

27801054009 is a deficient number, since it is larger than the sum of its proper divisors (13728915681).

27801054009 is an equidigital number, since it uses as much as digits as its factorization.

27801054009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343222901 (or 343222892 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 27801054009 in words is "twenty-seven billion, eight hundred one million, fifty-four thousand, nine".