27827467315200 has 2016 divisors, whose sum is σ = 119925164923200. Its totient is φ = 6269133127680.

The previous prime is 27827467315189. The next prime is 27827467315237. The reversal of 27827467315200 is 251376472872.

It is a happy number.

27827467315200 is a `hidden beast` number, since 2 + 7 + 8 + 2 + 7 + 46 + 73 + 1 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 19072972071 + ... + 19072973529.

It is an arithmetic number, because the mean of its divisors is an integer number (59486688950).

Almost surely, 2^{27827467315200} is an apocalyptic number.

27827467315200 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 27827467315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59962582461600).

27827467315200 is an abundant number, since it is smaller than the sum of its proper divisors (92097697608000).

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

27827467315200 is an equidigital number, since it uses as much as digits as its factorization.

27827467315200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1589 (or 1549 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The spelling of 27827467315200 in words is "twenty-seven trillion, eight hundred twenty-seven billion, four hundred sixty-seven million, three hundred fifteen thousand, two hundred".