27066312000 has 1792 divisors, whose sum is σ = 131006453760. Its totient is φ = 5374771200.

The previous prime is 27066311963. The next prime is 27066312011. The reversal of 27066312000 is 21366072.

It is a happy number.

27066312000 is a `hidden beast` number, since 2 + 7 + 0 + 6 + 631 + 20 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1592135992 + ... + 1592136008.

It is an arithmetic number, because the mean of its divisors is an integer number (73106280).

Almost surely, 2^27066312000 is an apocalyptic number.

27066312000 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 27066312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65503226880).

27066312000 is an abundant number, since it is smaller than the sum of its proper divisors (103940141760).

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

27066312000 is an equidigital number, since it uses as much as digits as its factorization.

27066312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

Adding to 27066312000 its reverse (21366072), we get a palindrome (27087678072).

The spelling of 27066312000 in words is "twenty-seven billion, sixty-six million, three hundred twelve thousand".