27813138048 has 192 divisors, whose sum is σ = 87203227200. Its totient is φ = 8725377024.

The previous prime is 27813138047. The next prime is 27813138053. The reversal of 27813138048 is 84083131872.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 27813137994 and 27813138012.

It is not an unprimeable number, because it can be changed into a prime (27813138047) 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 23 ways as a sum of consecutive naturals, for example, 984861 + ... + 1012707.

It is an arithmetic number, because the mean of its divisors is an integer number (454183475).

Almost surely, 2^27813138048 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 27813138048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43601613600).

27813138048 is an abundant number, since it is smaller than the sum of its proper divisors (59390089152).

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

27813138048 is a wasteful number, since it uses less digits than its factorization.

27813138048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27904 (or 27869 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 27813138048 in words is "twenty-seven billion, eight hundred thirteen million, one hundred thirty-eight thousand, forty-eight".