27580840056 has 384 divisors, whose sum is σ = 96801868800. Its totient is φ = 6886656000.

The previous prime is 27580840039. The next prime is 27580840061. The reversal of 27580840056 is 65004808572.

27580840056 is a `hidden beast` number, since 27 + 580 + 8 + 40 + 0 + 5 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 27580839993 and 27580840020.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16137730 + ... + 16139438.

It is an arithmetic number, because the mean of its divisors is an integer number (252088200).

Almost surely, 2^27580840056 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 27580840056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48400934400).

27580840056 is an abundant number, since it is smaller than the sum of its proper divisors (69221028744).

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

27580840056 is a wasteful number, since it uses less digits than its factorization.

27580840056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1851 (or 1844 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 27580840056 in words is "twenty-seven billion, five hundred eighty million, eight hundred forty thousand, fifty-six".