27301050048 has 224 divisors, whose sum is σ = 77014425600. Its totient is φ = 8517510144.

The previous prime is 27301050047. The next prime is 27301050059. The reversal of 27301050048 is 84005010372.

It is a junction number, because it is equal to n+sod(n) for n = 27301049997 and 27301050024.

It is not an unprimeable number, because it can be changed into a prime (27301050047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48491815 + ... + 48492377.

It is an arithmetic number, because the mean of its divisors is an integer number (343814400).

Almost surely, 2^27301050048 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 27301050048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38507212800).

27301050048 is an abundant number, since it is smaller than the sum of its proper divisors (49713375552).

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

27301050048 is a wasteful number, since it uses less digits than its factorization.

27301050048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The spelling of 27301050048 in words is "twenty-seven billion, three hundred one million, fifty thousand, forty-eight".