27890506752 has 88 divisors (see below), whose sum is σ = 78251078400. Its totient is φ = 8807510016.

The previous prime is 27890506691. The next prime is 27890506811. The reversal of 27890506752 is 25760509872.

It is a junction number, because it is equal to n+sod(n) for n = 27890506695 and 27890506704.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 180552 + ... + 297287.

It is an arithmetic number, because the mean of its divisors is an integer number (889216800).

Almost surely, 2^27890506752 is an apocalyptic number.

It is an amenable number.

27890506752 is an abundant number, since it is smaller than the sum of its proper divisors (50360571648).

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

27890506752 is a wasteful number, since it uses less digits than its factorization.

27890506752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477881 (or 477863 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 51.

The spelling of 27890506752 in words is "twenty-seven billion, eight hundred ninety million, five hundred six thousand, seven hundred fifty-two".