27008335872 has 512 divisors, whose sum is σ = 94370400000. Its totient is φ = 7629963264.

The previous prime is 27008335867. The next prime is 27008335873. The reversal of 27008335872 is 27853380072.

It is a tau number, because it is divible by the number of its divisors (512).

It is not an unprimeable number, because it can be changed into a prime (27008335873) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 303464404 + ... + 303464492.

Almost surely, 2^27008335872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27008335872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47185200000).

27008335872 is an abundant number, since it is smaller than the sum of its proper divisors (67362064128).

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

27008335872 is an frugal number, since it uses more digits than its factorization.

27008335872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 27008335872 in words is "twenty-seven billion, eight million, three hundred thirty-five thousand, eight hundred seventy-two".