27979305325056 has 720 divisors, whose sum is σ = 86392657391040. Its totient is φ = 8700469493760.

The previous prime is 27979305325051. The next prime is 27979305325117. The reversal of 27979305325056 is 65052350397972.

It is a happy number.

27979305325056 is a `hidden beast` number, since 2 + 7 + 9 + 7 + 93 + 0 + 5 + 32 + 505 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 27979305324984 and 27979305325002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27979305325051) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 66776384815 + ... + 66776385233.

It is an arithmetic number, because the mean of its divisors is an integer number (119989801932).

Almost surely, 2^{27979305325056} 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 27979305325056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43196328695520).

27979305325056 is an abundant number, since it is smaller than the sum of its proper divisors (58413352065984).

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

27979305325056 is a wasteful number, since it uses less digits than its factorization.

27979305325056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 107163000, while the sum is 63.

The spelling of 27979305325056 in words is "twenty-seven trillion, nine hundred seventy-nine billion, three hundred five million, three hundred twenty-five thousand, fifty-six".