27988815120 has 160 divisors (see below), whose sum is σ = 100355576832. Its totient is φ = 6320334336.

The previous prime is 27988815097. The next prime is 27988815133. The reversal of 27988815120 is 2151888972.

It is a super-2 number, since 2×27988815120² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39079 + ... + 239801.

Almost surely, 2^27988815120 is an apocalyptic number.

27988815120 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 27988815120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50177788416).

27988815120 is an abundant number, since it is smaller than the sum of its proper divisors (72366761712).

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

27988815120 is a wasteful number, since it uses less digits than its factorization.

27988815120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200829 (or 200823 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 51.

The spelling of 27988815120 in words is "twenty-seven billion, nine hundred eighty-eight million, eight hundred fifteen thousand, one hundred twenty".