27984890880 has 528 divisors, whose sum is σ = 102145365504. Its totient is φ = 7345520640.

The previous prime is 27984890849. The next prime is 27984890881. The reversal of 27984890880 is 8809848972.

It is a happy number.

27984890880 is a `hidden beast` number, since 2 + 79 + 8 + 489 + 0 + 8 + 80 = 666.

It is not an unprimeable number, because it can be changed into a prime (27984890881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103265145 + ... + 103265415.

Almost surely, 2^27984890880 is an apocalyptic number.

27984890880 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 27984890880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51072682752).

27984890880 is an abundant number, since it is smaller than the sum of its proper divisors (74160474624).

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

27984890880 is an equidigital number, since it uses as much as digits as its factorization.

27984890880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 63.

The spelling of 27984890880 in words is "twenty-seven billion, nine hundred eighty-four million, eight hundred ninety thousand, eight hundred eighty".