27648075231 has 24 divisors (see below), whose sum is σ = 45650127744. Its totient is φ = 15795833040.

The previous prime is 27648075229. The next prime is 27648075233. The reversal of 27648075231 is 13257084672.

27648075231 is a `hidden beast` number, since 2 + 76 + 480 + 75 + 2 + 31 = 666.

It is an interprime number because it is at equal distance from previous prime (27648075229) and next prime (27648075233).

It is not a de Polignac number, because 27648075231 - 2¹ = 27648075229 is a prime.

It is a super-2 number, since 2×27648075231² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27648075233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 307096 + ... + 386786.

It is an arithmetic number, because the mean of its divisors is an integer number (1902088656).

Almost surely, 2^27648075231 is an apocalyptic number.

27648075231 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

27648075231 is a deficient number, since it is larger than the sum of its proper divisors (18002052513).

27648075231 is a wasteful number, since it uses less digits than its factorization.

27648075231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85211 (or 85208 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 27648075231 in words is "twenty-seven billion, six hundred forty-eight million, seventy-five thousand, two hundred thirty-one".