2166065010700 has 72 divisors (see below), whose sum is σ = 4819472159040. Its totient is φ = 844552161600.

The previous prime is 2166065010673. The next prime is 2166065010713. The reversal of 2166065010700 is 70105606612.

It is a happy number.

It is a super-2 number, since 2×2166065010700² (a number of 25 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 1598331 + ... + 2624269.

It is an arithmetic number, because the mean of its divisors is an integer number (66937113320).

Almost surely, 2^{2166065010700} is an apocalyptic number.

2166065010700 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2166065010700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2409736079520).

2166065010700 is an abundant number, since it is smaller than the sum of its proper divisors (2653407148340).

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

2166065010700 is a wasteful number, since it uses less digits than its factorization.

2166065010700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026487 (or 1026480 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The spelling of 2166065010700 in words is "two trillion, one hundred sixty-six billion, sixty-five million, ten thousand, seven hundred".