27859481361 has 16 divisors (see below), whose sum is σ = 41299441920. Its totient is φ = 18561226320.

The previous prime is 27859481347. The next prime is 27859481383. The reversal of 27859481361 is 16318495872.

27859481361 is a `hidden beast` number, since 27 + 85 + 9 + 481 + 3 + 61 = 666.

It is not a de Polignac number, because 27859481361 - 2¹⁵ = 27859448593 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 27859481298 and 27859481307.

It is not an unprimeable number, because it can be changed into a prime (27859481311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 283170 + ... + 368651.

It is an arithmetic number, because the mean of its divisors is an integer number (2581215120).

Almost surely, 2^27859481361 is an apocalyptic number.

It is an amenable number.

27859481361 is a deficient number, since it is larger than the sum of its proper divisors (13439960559).

27859481361 is a wasteful number, since it uses less digits than its factorization.

27859481361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653413 (or 653407 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The spelling of 27859481361 in words is "twenty-seven billion, eight hundred fifty-nine million, four hundred eighty-one thousand, three hundred sixty-one".