27827380224 has 336 divisors, whose sum is σ = 95319177408. Its totient is φ = 7946698752.

The previous prime is 27827380219. The next prime is 27827380241. The reversal of 27827380224 is 42208372872.

27827380224 is a `hidden beast` number, since 27 + 8 + 27 + 380 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a self number, because there is not a number n which added to its sum of digits gives 27827380224.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13933594 + ... + 13935590.

It is an arithmetic number, because the mean of its divisors is an integer number (283688028).

Almost surely, 2^27827380224 is an apocalyptic number.

27827380224 is a gapful number since it is divisible by the number (24) 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 27827380224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47659588704).

27827380224 is an abundant number, since it is smaller than the sum of its proper divisors (67491797184).

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

27827380224 is an frugal number, since it uses more digits than its factorization.

27827380224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2045 (or 2009 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 27827380224 in words is "twenty-seven billion, eight hundred twenty-seven million, three hundred eighty thousand, two hundred twenty-four".