27982988352000 has 1600 divisors, whose sum is σ = 114906194282880. Its totient is φ = 6712492032000.

The previous prime is 27982988351999. The next prime is 27982988352079. The reversal of 27982988352000 is 25388928972.

27982988352000 is a `hidden beast` number, since 2 + 7 + 9 + 8 + 29 + 8 + 83 + 520 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1600).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5531325471 + ... + 5531330529.

Almost surely, 2^{27982988352000} is an apocalyptic number.

27982988352000 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 27982988352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57453097141440).

27982988352000 is an abundant number, since it is smaller than the sum of its proper divisors (86923205930880).

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

27982988352000 is an equidigital number, since it uses as much as digits as its factorization.

27982988352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5212 (or 5177 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 27982988352000 in words is "twenty-seven trillion, nine hundred eighty-two billion, nine hundred eighty-eight million, three hundred fifty-two thousand".