27974912000 has 384 divisors, whose sum is σ = 81319230720. Its totient is φ = 9407692800.

The previous prime is 27974911967. The next prime is 27974912023. The reversal of 27974912000 is 21947972.

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 31 ways as a sum of consecutive naturals, for example, 120063884 + ... + 120064116.

It is an arithmetic number, because the mean of its divisors is an integer number (211768830).

Almost surely, 2^27974912000 is an apocalyptic number.

27974912000 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 27974912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40659615360).

27974912000 is an abundant number, since it is smaller than the sum of its proper divisors (53344318720).

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

27974912000 is an equidigital number, since it uses as much as digits as its factorization.

27974912000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 41.

The spelling of 27974912000 in words is "twenty-seven billion, nine hundred seventy-four million, nine hundred twelve thousand".