27309745800 has 72 divisors (see below), whose sum is σ = 91715235690. Its totient is φ = 7282598400.

The previous prime is 27309745753. The next prime is 27309745861. The reversal of 27309745800 is 854790372.

It can be written as a sum of positive squares in 3 ways, for example, as 21649591044 + 5660154756 = 147138^2 + 75234^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 17 ways as a sum of consecutive naturals, for example, 7584241 + ... + 7587840.

Almost surely, 2^27309745800 is an apocalyptic number.

27309745800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27309745800 is an abundant number, since it is smaller than the sum of its proper divisors (64405489890).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

27309745800 is a wasteful number, since it uses less digits than its factorization.

27309745800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15172103 (or 15172091 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 27309745800 in words is "twenty-seven billion, three hundred nine million, seven hundred forty-five thousand, eight hundred".