27657381312 has 672 divisors, whose sum is σ = 96568442880. Its totient is φ = 7759825920.

The previous prime is 27657381307. The next prime is 27657381361. The reversal of 27657381312 is 21318375672.

27657381312 is a `hidden beast` number, since 2 + 76 + 573 + 8 + 1 + 3 + 1 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 217774593 + ... + 217774719.

It is an arithmetic number, because the mean of its divisors is an integer number (143703040).

Almost surely, 2^27657381312 is an apocalyptic number.

27657381312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27657381312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48284221440).

27657381312 is an abundant number, since it is smaller than the sum of its proper divisors (68911061568).

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

27657381312 is a wasteful number, since it uses less digits than its factorization.

27657381312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 229 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The spelling of 27657381312 in words is "twenty-seven billion, six hundred fifty-seven million, three hundred eighty-one thousand, three hundred twelve".