27881266560 has 384 divisors, whose sum is σ = 105154329600. Its totient is φ = 6263599104.

The previous prime is 27881266537. The next prime is 27881266661. The reversal of 27881266560 is 6566218872.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 5548209 + ... + 5553231.

It is an arithmetic number, because the mean of its divisors is an integer number (273839400).

Almost surely, 2^27881266560 is an apocalyptic number.

27881266560 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 27881266560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52577164800).

27881266560 is an abundant number, since it is smaller than the sum of its proper divisors (77273063040).

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

27881266560 is a wasteful number, since it uses less digits than its factorization.

27881266560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5118 (or 5099 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 27881266560 in words is "twenty-seven billion, eight hundred eighty-one million, two hundred sixty-six thousand, five hundred sixty".