27997985305 has 16 divisors (see below), whose sum is σ = 34322952960. Its totient is φ = 21915100672.

The previous prime is 27997985297. The next prime is 27997985311. The reversal of 27997985305 is 50358979972.

It is a cyclic number.

It is not a de Polignac number, because 27997985305 - 2³ = 27997985297 is a prime.

It is a super-2 number, since 2×27997985305² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 833526 + ... + 866464.

It is an arithmetic number, because the mean of its divisors is an integer number (2145184560).

Almost surely, 2^27997985305 is an apocalyptic number.

It is an amenable number.

27997985305 is a deficient number, since it is larger than the sum of its proper divisors (6324967655).

27997985305 is a wasteful number, since it uses less digits than its factorization.

27997985305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36608.

The product of its (nonzero) digits is 42865200, while the sum is 64.

The spelling of 27997985305 in words is "twenty-seven billion, nine hundred ninety-seven million, nine hundred eighty-five thousand, three hundred five".