27488216560 has 160 divisors (see below), whose sum is σ = 77648601600. Its totient is φ = 8839756800.

The previous prime is 27488216549. The next prime is 27488216599. The reversal of 27488216560 is 6561288472.

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 31 ways as a sum of consecutive naturals, for example, 1061851 + ... + 1087429.

It is an arithmetic number, because the mean of its divisors is an integer number (485303760).

Almost surely, 2^27488216560 is an apocalyptic number.

27488216560 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 27488216560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38824300800).

27488216560 is an abundant number, since it is smaller than the sum of its proper divisors (50160385040).

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

27488216560 is a wasteful number, since it uses less digits than its factorization.

27488216560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25719 (or 25713 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 49.

The spelling of 27488216560 in words is "twenty-seven billion, four hundred eighty-eight million, two hundred sixteen thousand, five hundred sixty".