27953860311 has 48 divisors (see below), whose sum is σ = 44740637760. Its totient is φ = 16708861440.

The previous prime is 27953860309. The next prime is 27953860321. The reversal of 27953860311 is 11306835972.

27953860311 is a `hidden beast` number, since 2 + 7 + 9 + 5 + 38 + 603 + 1 + 1 = 666.

It is not a de Polignac number, because 27953860311 - 2¹ = 27953860309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27953860321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1085790 + ... + 1111236.

It is an arithmetic number, because the mean of its divisors is an integer number (932096620).

Almost surely, 2^27953860311 is an apocalyptic number.

27953860311 is a deficient number, since it is larger than the sum of its proper divisors (16786777449).

27953860311 is a wasteful number, since it uses less digits than its factorization.

27953860311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25736 (or 25733 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 27953860311 in words is "twenty-seven billion, nine hundred fifty-three million, eight hundred sixty thousand, three hundred eleven".