27980991360 has 288 divisors, whose sum is σ = 112397992200. Its totient is φ = 6395590656.

The previous prime is 27980991331. The next prime is 27980991503. The reversal of 27980991360 is 6319908972.

27980991360 is a `hidden beast` number, since 279 + 8 + 0 + 9 + 9 + 1 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 27980991297 and 27980991306.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 232671 + ... + 331809.

Almost surely, 2^27980991360 is an apocalyptic number.

27980991360 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 27980991360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56198996100).

27980991360 is an abundant number, since it is smaller than the sum of its proper divisors (84417000840).

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

27980991360 is a wasteful number, since it uses less digits than its factorization.

27980991360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99178 (or 99156 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 27980991360 in words is "twenty-seven billion, nine hundred eighty million, nine hundred ninety-one thousand, three hundred sixty".