27802311108 has 384 divisors, whose sum is σ = 82978560000. Its totient is φ = 7119912960.

The previous prime is 27802311091. The next prime is 27802311113. The reversal of 27802311108 is 80111320872.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 127 ways as a sum of consecutive naturals, for example, 186592618 + ... + 186592766.

It is an arithmetic number, because the mean of its divisors is an integer number (216090000).

Almost surely, 2^27802311108 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 27802311108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41489280000).

27802311108 is an abundant number, since it is smaller than the sum of its proper divisors (55176248892).

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

27802311108 is a wasteful number, since it uses less digits than its factorization.

27802311108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 33.

The spelling of 27802311108 in words is "twenty-seven billion, eight hundred two million, three hundred eleven thousand, one hundred eight".