27540840600 has 576 divisors, whose sum is σ = 114392678400. Its totient is φ = 5782440960.

The previous prime is 27540840577. The next prime is 27540840601. The reversal of 27540840600 is 604804572.

27540840600 is a `hidden beast` number, since 2 + 7 + 5 + 4 + 0 + 8 + 40 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27540840601) 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 143 ways as a sum of consecutive naturals, for example, 62735181 + ... + 62735619.

It is an arithmetic number, because the mean of its divisors is an integer number (198598400).

Almost surely, 2^27540840600 is an apocalyptic number.

27540840600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27540840600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57196339200).

27540840600 is an abundant number, since it is smaller than the sum of its proper divisors (86851837800).

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

27540840600 is a wasteful number, since it uses less digits than its factorization.

27540840600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 27540840600 in words is "twenty-seven billion, five hundred forty million, eight hundred forty thousand, six hundred".