27057616128 has 216 divisors, whose sum is σ = 79248545376. Its totient is φ = 8877772800.

The previous prime is 27057616087. The next prime is 27057616147. The reversal of 27057616128 is 82161675072.

27057616128 is a `hidden beast` number, since 2 + 7 + 0 + 5 + 7 + 616 + 1 + 28 = 666.

It is a super-2 number, since 2×27057616128² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47386083 + ... + 47386653.

Almost surely, 2^27057616128 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 27057616128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39624272688).

27057616128 is an abundant number, since it is smaller than the sum of its proper divisors (52190929248).

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

27057616128 is a wasteful number, since it uses less digits than its factorization.

27057616128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 27057616128 in words is "twenty-seven billion, fifty-seven million, six hundred sixteen thousand, one hundred twenty-eight".