27832204281816 has 128 divisors (see below), whose sum is σ = 86397086764800. Its totient is φ = 8228293920000.

The previous prime is 27832204281779. The next prime is 27832204281829. The reversal of 27832204281816 is 61818240223872.

It is a happy number.

27832204281816 is a `hidden beast` number, since 2 + 7 + 8 + 32 + 2 + 0 + 428 + 181 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 142754910 + ... + 142949741.

It is an arithmetic number, because the mean of its divisors is an integer number (674977240350).

Almost surely, 2^{27832204281816} is an apocalyptic number.

It is an amenable number.

27832204281816 is an abundant number, since it is smaller than the sum of its proper divisors (58564882482984).

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

27832204281816 is a wasteful number, since it uses less digits than its factorization.

27832204281816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285704718 (or 285704708 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 27832204281816 in words is "twenty-seven trillion, eight hundred thirty-two billion, two hundred four million, two hundred eighty-one thousand, eight hundred sixteen".