27827650560 has 240 divisors, whose sum is σ = 89650512000. Its totient is φ = 7370440704.

The previous prime is 27827650549. The next prime is 27827650577. The reversal of 27827650560 is 6505672872.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 48905956 + ... + 48906524.

It is an arithmetic number, because the mean of its divisors is an integer number (373543800).

Almost surely, 2^27827650560 is an apocalyptic number.

27827650560 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 27827650560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44825256000).

27827650560 is an abundant number, since it is smaller than the sum of its proper divisors (61822861440).

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

27827650560 is an equidigital number, since it uses as much as digits as its factorization.

27827650560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 48.

The spelling of 27827650560 in words is "twenty-seven billion, eight hundred twenty-seven million, six hundred fifty thousand, five hundred sixty".