27800533305 has 48 divisors (see below), whose sum is σ = 49980260304. Its totient is φ = 14283302400.

The previous prime is 27800533303. The next prime is 27800533309. The reversal of 27800533305 is 50333500872.

27800533305 is a `hidden beast` number, since 278 + 0 + 0 + 53 + 330 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 107246736 + 27693286569 = 10356^2 + 166413^2 .

It is not a de Polignac number, because 27800533305 - 2¹ = 27800533303 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 27800533305.

It is not an unprimeable number, because it can be changed into a prime (27800533301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85507 + ... + 250823.

It is an arithmetic number, because the mean of its divisors is an integer number (1041255423).

Almost surely, 2^27800533305 is an apocalyptic number.

It is an amenable number.

27800533305 is a deficient number, since it is larger than the sum of its proper divisors (22179726999).

27800533305 is a wasteful number, since it uses less digits than its factorization.

27800533305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165466 (or 165463 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 27800533305 in words is "twenty-seven billion, eight hundred million, five hundred thirty-three thousand, three hundred five".