27723741612448 has 288 divisors, whose sum is σ = 70799211423360. Its totient is φ = 10589066772480.

The previous prime is 27723741612433. The next prime is 27723741612521. The reversal of 27723741612448 is 84421614732772.

It is a junction number, because it is equal to n+sod(n) for n = 27723741612392 and 27723741612401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1163335893 + ... + 1163359723.

It is an arithmetic number, because the mean of its divisors is an integer number (245830595220).

Almost surely, 2^{27723741612448} is an apocalyptic number.

27723741612448 is a gapful number since it is divisible by the number (28) 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 27723741612448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35399605711680).

27723741612448 is an abundant number, since it is smaller than the sum of its proper divisors (43075469810912).

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

27723741612448 is a wasteful number, since it uses less digits than its factorization.

27723741612448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26188 (or 26173 counting only the distinct ones).

The product of its digits is 25288704, while the sum is 58.

The spelling of 27723741612448 in words is "twenty-seven trillion, seven hundred twenty-three billion, seven hundred forty-one million, six hundred twelve thousand, four hundred forty-eight".