27338712048 has 120 divisors (see below), whose sum is σ = 77647009440. Its totient is φ = 8978480640.

The previous prime is 27338712013. The next prime is 27338712053. The reversal of 27338712048 is 84021783372.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 27338711994 and 27338712012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2836165 + ... + 2845787.

It is an arithmetic number, because the mean of its divisors is an integer number (647058412).

Almost surely, 2^27338712048 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 27338712048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38823504720).

27338712048 is an abundant number, since it is smaller than the sum of its proper divisors (50308297392).

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

27338712048 is a wasteful number, since it uses less digits than its factorization.

27338712048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9927 (or 9918 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 27338712048 in words is "twenty-seven billion, three hundred thirty-eight million, seven hundred twelve thousand, forty-eight".