27888368482560 has 576 divisors, whose sum is σ = 97410758215680. Its totient is φ = 6769417912320.

The previous prime is 27888368482549. The next prime is 27888368482573. The reversal of 27888368482560 is 6528486388872.

It is a super-2 number, since 2×27888368482560² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4308411484 + ... + 4308417956.

It is an arithmetic number, because the mean of its divisors is an integer number (169115899680).

Almost surely, 2^{27888368482560} is an apocalyptic number.

27888368482560 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 27888368482560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48705379107840).

27888368482560 is an abundant number, since it is smaller than the sum of its proper divisors (69522389733120).

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

27888368482560 is a wasteful number, since it uses less digits than its factorization.

27888368482560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8674 (or 8660 counting only the distinct ones).

The product of its (nonzero) digits is 1981808640, while the sum is 75.

The spelling of 27888368482560 in words is "twenty-seven trillion, eight hundred eighty-eight billion, three hundred sixty-eight million, four hundred eighty-two thousand, five hundred sixty".