27682955712 has 224 divisors, whose sum is σ = 82639448640. Its totient is φ = 9086238720.

The previous prime is 27682955689. The next prime is 27682955723. The reversal of 27682955712 is 21755928672.

27682955712 is a `hidden beast` number, since 2 + 7 + 6 + 82 + 9 + 557 + 1 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53134012 + ... + 53134532.

It is an arithmetic number, because the mean of its divisors is an integer number (368926110).

Almost surely, 2^27682955712 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 27682955712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41319724320).

27682955712 is an abundant number, since it is smaller than the sum of its proper divisors (54956492928).

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

27682955712 is a wasteful number, since it uses less digits than its factorization.

27682955712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956 (or 940 counting only the distinct ones).

The product of its digits is 4233600, while the sum is 54.

The spelling of 27682955712 in words is "twenty-seven billion, six hundred eighty-two million, nine hundred fifty-five thousand, seven hundred twelve".