27825575033256 has 512 divisors, whose sum is σ = 99160356556800. Its totient is φ = 6262159196160.

The previous prime is 27825575033233. The next prime is 27825575033287. The reversal of 27825575033256 is 65233057552872.

It is a self number, because there is not a number n which added to its sum of digits gives 27825575033256.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 152244855 + ... + 152427513.

It is an arithmetic number, because the mean of its divisors is an integer number (193672571400).

Almost surely, 2^{27825575033256} is an apocalyptic number.

27825575033256 is a gapful number since it is divisible by the number (26) 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 27825575033256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49580178278400).

27825575033256 is an abundant number, since it is smaller than the sum of its proper divisors (71334781523544).

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

27825575033256 is a wasteful number, since it uses less digits than its factorization.

27825575033256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183089 (or 183085 counting only the distinct ones).

The product of its (nonzero) digits is 105840000, while the sum is 60.

The spelling of 27825575033256 in words is "twenty-seven trillion, eight hundred twenty-five billion, five hundred seventy-five million, thirty-three thousand, two hundred fifty-six".