27180042000 has 320 divisors, whose sum is σ = 94956136704. Its totient is φ = 6661939200.

The previous prime is 27180041989. The next prime is 27180042031. The reversal of 27180042000 is 24008172.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4382902 + ... + 4389098.

Almost surely, 2^27180042000 is an apocalyptic number.

27180042000 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 27180042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47478068352).

27180042000 is an abundant number, since it is smaller than the sum of its proper divisors (67776094704).

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

27180042000 is a wasteful number, since it uses less digits than its factorization.

27180042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6283 (or 6267 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The spelling of 27180042000 in words is "twenty-seven billion, one hundred eighty million, forty-two thousand".