2166285851808 has 384 divisors, whose sum is σ = 6816570163200. Its totient is φ = 596184883200.

The previous prime is 2166285851791. The next prime is 2166285851831. The reversal of 2166285851808 is 8081585826612.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

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, 30102013 + ... + 30173891.

It is an arithmetic number, because the mean of its divisors is an integer number (17751484800).

Almost surely, 2^{2166285851808} 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 2166285851808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3408285081600).

2166285851808 is an abundant number, since it is smaller than the sum of its proper divisors (4650284311392).

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

2166285851808 is a wasteful number, since it uses less digits than its factorization.

2166285851808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71996 (or 71988 counting only the distinct ones).

The product of its (nonzero) digits is 14745600, while the sum is 60.

The spelling of 2166285851808 in words is "two trillion, one hundred sixty-six billion, two hundred eighty-five million, eight hundred fifty-one thousand, eight hundred eight".