27685352448 has 704 divisors, whose sum is σ = 98051627520. Its totient is φ = 7629963264.

The previous prime is 27685352441. The next prime is 27685352449. The reversal of 27685352448 is 84425358672.

27685352448 is a `hidden beast` number, since 2 + 7 + 68 + 53 + 524 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 27685352394 and 27685352403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27685352441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 140534686 + ... + 140534882.

It is an arithmetic number, because the mean of its divisors is an integer number (139277880).

Almost surely, 2^27685352448 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 27685352448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49025813760).

27685352448 is an abundant number, since it is smaller than the sum of its proper divisors (70366275072).

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

27685352448 is a wasteful number, since it uses less digits than its factorization.

27685352448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 255 counting only the distinct ones).

The product of its digits is 12902400, while the sum is 54.

The spelling of 27685352448 in words is "twenty-seven billion, six hundred eighty-five million, three hundred fifty-two thousand, four hundred forty-eight".