27813628577 has 24 divisors (see below), whose sum is σ = 33774967872. Its totient is φ = 22794525600.

The previous prime is 27813628573. The next prime is 27813628607. The reversal of 27813628577 is 77582631872.

It is not a de Polignac number, because 27813628577 - 2² = 27813628573 is a prime.

It is a super-2 number, since 2×27813628577² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (27813628573) 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 23 ways as a sum of consecutive naturals, for example, 5284127 + ... + 5289387.

It is an arithmetic number, because the mean of its divisors is an integer number (1407290328).

Almost surely, 2^27813628577 is an apocalyptic number.

It is an amenable number.

27813628577 is a deficient number, since it is larger than the sum of its proper divisors (5961339295).

27813628577 is a wasteful number, since it uses less digits than its factorization.

27813628577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9989 (or 9982 counting only the distinct ones).

The product of its digits is 7902720, while the sum is 56.

The spelling of 27813628577 in words is "twenty-seven billion, eight hundred thirteen million, six hundred twenty-eight thousand, five hundred seventy-seven".