27811045008 has 320 divisors, whose sum is σ = 88788960000. Its totient is φ = 8294178816.

The previous prime is 27811044977. The next prime is 27811045013. The reversal of 27811045008 is 80054011872.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 63 ways as a sum of consecutive naturals, for example, 14268418 + ... + 14270366.

It is an arithmetic number, because the mean of its divisors is an integer number (277465500).

Almost surely, 2^27811045008 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 27811045008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44394480000).

27811045008 is an abundant number, since it is smaller than the sum of its proper divisors (60977914992).

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

27811045008 is a wasteful number, since it uses less digits than its factorization.

27811045008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2079 (or 2067 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The spelling of 27811045008 in words is "twenty-seven billion, eight hundred eleven million, forty-five thousand, eight".