27855642028032 has 3456 divisors, whose sum is σ = 113782529952000. Its totient is φ = 6474568826880.

The previous prime is 27855642027991. The next prime is 27855642028079. The reversal of 27855642028032 is 23082024655872.

27855642028032 is a `hidden beast` number, since 2 + 7 + 8 + 5 + 564 + 20 + 28 + 0 + 32 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 27855642028032.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 312984741844 + ... + 312984741932.

It is an arithmetic number, because the mean of its divisors is an integer number (32923185750).

Almost surely, 2^{27855642028032} 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 27855642028032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56891264976000).

27855642028032 is an abundant number, since it is smaller than the sum of its proper divisors (85926887923968).

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

27855642028032 is a wasteful number, since it uses less digits than its factorization.

27855642028032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 27855642028032 in words is "twenty-seven trillion, eight hundred fifty-five billion, six hundred forty-two million, twenty-eight thousand, thirty-two".