27058893074064 has 480 divisors, whose sum is σ = 87458866560000. Its totient is φ = 7751925006336.

The previous prime is 27058893074063. The next prime is 27058893074123. The reversal of 27058893074064 is 46047039885072.

27058893074064 is a `hidden beast` number, since 2 + 7 + 0 + 588 + 9 + 3 + 0 + 7 + 40 + 6 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 27058893073992 and 27058893074010.

It is not an unprimeable number, because it can be changed into a prime (27058893074063) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 818734212 + ... + 818767260.

It is an arithmetic number, because the mean of its divisors is an integer number (182205972000).

Almost surely, 2^{27058893074064} is an apocalyptic number.

27058893074064 is a gapful number since it is divisible by the number (24) 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 27058893074064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43729433280000).

27058893074064 is an abundant number, since it is smaller than the sum of its proper divisors (60399973485936).

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

27058893074064 is a wasteful number, since it uses less digits than its factorization.

27058893074064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33735 (or 33726 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 27058893074064 in words is "twenty-seven trillion, fifty-eight billion, eight hundred ninety-three million, seventy-four thousand, sixty-four".