27284638752 has 168 divisors, whose sum is σ = 92044100736. Its totient is φ = 7795564416.

The previous prime is 27284638751. The next prime is 27284638757. The reversal of 27284638752 is 25783648272.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is not an unprimeable number, because it can be changed into a prime (27284638751) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 79753 + ... + 246839.

It is an arithmetic number, because the mean of its divisors is an integer number (547881552).

Almost surely, 2^27284638752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27284638752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46022050368).

27284638752 is an abundant number, since it is smaller than the sum of its proper divisors (64759461984).

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

27284638752 is an equidigital number, since it uses as much as digits as its factorization.

27284638752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167122 (or 167099 counting only the distinct ones).

The product of its digits is 9031680, while the sum is 54.

The spelling of 27284638752 in words is "twenty-seven billion, two hundred eighty-four million, six hundred thirty-eight thousand, seven hundred fifty-two".