27448148800 has 168 divisors, whose sum is σ = 69065436672. Its totient is φ = 10732800000.

The previous prime is 27448148797. The next prime is 27448148837. The reversal of 27448148800 is 884184472.

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 23 ways as a sum of consecutive naturals, for example, 36548425 + ... + 36549175.

Almost surely, 2^27448148800 is an apocalyptic number.

27448148800 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 27448148800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34532718336).

27448148800 is an abundant number, since it is smaller than the sum of its proper divisors (41617287872).

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

27448148800 is a wasteful number, since it uses less digits than its factorization.

27448148800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 46.

The spelling of 27448148800 in words is "twenty-seven billion, four hundred forty-eight million, one hundred forty-eight thousand, eight hundred".