27265928256 has 168 divisors, whose sum is σ = 89457361344. Its totient is φ = 7778073600.

The previous prime is 27265928237. The next prime is 27265928257. The reversal of 27265928256 is 65282956272.

27265928256 is a `hidden beast` number, since 2 + 7 + 26 + 592 + 8 + 25 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×27265928256² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (27265928257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2748906 + ... + 2758806.

Almost surely, 2^27265928256 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 27265928256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44728680672).

27265928256 is an abundant number, since it is smaller than the sum of its proper divisors (62191433088).

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

27265928256 is a wasteful number, since it uses less digits than its factorization.

27265928256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10609 (or 10596 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 27265928256 in words is "twenty-seven billion, two hundred sixty-five million, nine hundred twenty-eight thousand, two hundred fifty-six".