27894720000 has 600 divisors, whose sum is σ = 108205157016. Its totient is φ = 6365184000.

The previous prime is 27894719989. The next prime is 27894720023. The reversal of 27894720000 is 2749872.

It is a tau number, because it is divible by the number of its divisors (600).

It is a congruent number.

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 59 ways as a sum of consecutive naturals, for example, 47039704 + ... + 47040296.

Almost surely, 2^27894720000 is an apocalyptic number.

27894720000 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 27894720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54102578508).

27894720000 is an abundant number, since it is smaller than the sum of its proper divisors (80310437016).

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

27894720000 is an frugal number, since it uses more digits than its factorization.

27894720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The spelling of 27894720000 in words is "twenty-seven billion, eight hundred ninety-four million, seven hundred twenty thousand".