27114416200 has 48 divisors (see below), whose sum is σ = 63166582080. Its totient is φ = 10824164160.

The previous prime is 27114416159. The next prime is 27114416281. The reversal of 27114416200 is 261441172.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34164 + ... + 235363.

It is an arithmetic number, because the mean of its divisors is an integer number (1315970460).

Almost surely, 2^27114416200 is an apocalyptic number.

27114416200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27114416200 is an abundant number, since it is smaller than the sum of its proper divisors (36052165880).

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

27114416200 is a wasteful number, since it uses less digits than its factorization.

27114416200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270046 (or 270037 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

Adding to 27114416200 its reverse (261441172), we get a palindrome (27375857372).

The spelling of 27114416200 in words is "twenty-seven billion, one hundred fourteen million, four hundred sixteen thousand, two hundred".