27863507349 has 36 divisors (see below), whose sum is σ = 41882057100. Its totient is φ = 17845591680.

The previous prime is 27863507339. The next prime is 27863507359. The reversal of 27863507349 is 94370536872.

27863507349 is a `hidden beast` number, since 2 + 78 + 63 + 507 + 3 + 4 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (27863507339) and next prime (27863507359).

It can be written as a sum of positive squares in 2 ways, for example, as 9236171025 + 18627336324 = 96105^2 + 136482^2 .

It is not a de Polignac number, because 27863507349 - 2¹⁹ = 27862983061 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 27863507295 and 27863507304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27863507339) 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 35 ways as a sum of consecutive naturals, for example, 1001377 + ... + 1028825.

It is an arithmetic number, because the mean of its divisors is an integer number (1163390475).

Almost surely, 2^27863507349 is an apocalyptic number.

It is an amenable number.

27863507349 is a deficient number, since it is larger than the sum of its proper divisors (14018549751).

27863507349 is a wasteful number, since it uses less digits than its factorization.

27863507349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27602 (or 27556 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 27863507349 in words is "twenty-seven billion, eight hundred sixty-three million, five hundred seven thousand, three hundred forty-nine".