27375340257 has 32 divisors (see below), whose sum is σ = 41689234560. Its totient is φ = 17741177280.

The previous prime is 27375340247. The next prime is 27375340271. The reversal of 27375340257 is 75204357372.

It is a happy number.

27375340257 is a `hidden beast` number, since 27 + 37 + 5 + 340 + 257 = 666.

It is not a de Polignac number, because 27375340257 - 2⁴ = 27375340241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (27375340247) 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 31 ways as a sum of consecutive naturals, for example, 1168218 + ... + 1191420.

It is an arithmetic number, because the mean of its divisors is an integer number (1302788580).

Almost surely, 2^27375340257 is an apocalyptic number.

27375340257 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

27375340257 is a deficient number, since it is larger than the sum of its proper divisors (14313894303).

27375340257 is a wasteful number, since it uses less digits than its factorization.

27375340257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24430 (or 24424 counting only the distinct ones).

The product of its (nonzero) digits is 1234800, while the sum is 45.

The spelling of 27375340257 in words is "twenty-seven billion, three hundred seventy-five million, three hundred forty thousand, two hundred fifty-seven".