27008042880 has 256 divisors, whose sum is σ = 105955315200. Its totient is φ = 5698363392.

The previous prime is 27008042857. The next prime is 27008042899. The reversal of 27008042880 is 8824080072.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97431 + ... + 252009.

It is an arithmetic number, because the mean of its divisors is an integer number (413887950).

Almost surely, 2^27008042880 is an apocalyptic number.

27008042880 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 27008042880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52977657600).

27008042880 is an abundant number, since it is smaller than the sum of its proper divisors (78947272320).

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

27008042880 is a wasteful number, since it uses less digits than its factorization.

27008042880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154621 (or 154609 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 39.

The spelling of 27008042880 in words is "twenty-seven billion, eight million, forty-two thousand, eight hundred eighty".