27164552748256 has 288 divisors, whose sum is σ = 67827512180736. Its totient is φ = 10482151680000.

The previous prime is 27164552748199. The next prime is 27164552748257. The reversal of 27164552748256 is 65284725546172.

It is a super-2 number, since 2×27164552748256² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27164552748257) 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, 2089413756 + ... + 2089426756.

It is an arithmetic number, because the mean of its divisors is an integer number (235512195072).

Almost surely, 2^{27164552748256} 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 27164552748256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33913756090368).

27164552748256 is an abundant number, since it is smaller than the sum of its proper divisors (40662959432480).

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

27164552748256 is a wasteful number, since it uses less digits than its factorization.

27164552748256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13774 (or 13755 counting only the distinct ones).

The product of its digits is 225792000, while the sum is 64.

The spelling of 27164552748256 in words is "twenty-seven trillion, one hundred sixty-four billion, five hundred fifty-two million, seven hundred forty-eight thousand, two hundred fifty-six".