27285508000 has 96 divisors (see below), whose sum is σ = 67097918160. Its totient is φ = 10904857600.

The previous prime is 27285507979. The next prime is 27285508001. The reversal of 27285508000 is 80558272.

It can be written as a sum of positive squares in 8 ways, for example, as 8823220624 + 18462287376 = 93932^2 + 135876^2 .

It is not an unprimeable number, because it can be changed into a prime (27285508001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6449886 + ... + 6454114.

Almost surely, 2^27285508000 is an apocalyptic number.

27285508000 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 27285508000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33548959080).

27285508000 is an abundant number, since it is smaller than the sum of its proper divisors (39812410160).

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

27285508000 is a wasteful number, since it uses less digits than its factorization.

27285508000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5867 (or 5849 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 37.

The spelling of 27285508000 in words is "twenty-seven billion, two hundred eighty-five million, five hundred eight thousand".