27965260505056 has 288 divisors, whose sum is σ = 66410124026400. Its totient is φ = 11549240672256.

The previous prime is 27965260505053. The next prime is 27965260505123. The reversal of 27965260505056 is 65050506256972.

It is a super-3 number, since 3×27965260505056³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27965260505053) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3632319895 + ... + 3632327593.

It is an arithmetic number, because the mean of its divisors is an integer number (230590708425).

Almost surely, 2^{27965260505056} 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 27965260505056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33205062013200).

27965260505056 is an abundant number, since it is smaller than the sum of its proper divisors (38444863521344).

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

27965260505056 is a wasteful number, since it uses less digits than its factorization.

27965260505056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8354 (or 8339 counting only the distinct ones).

The product of its (nonzero) digits is 34020000, while the sum is 58.

The spelling of 27965260505056 in words is "twenty-seven trillion, nine hundred sixty-five billion, two hundred sixty million, five hundred five thousand, fifty-six".