8253405666 has 96 divisors (see below), whose sum is σ = 20100757248. Its totient is φ = 2425489920.

The previous prime is 8253405661. The next prime is 8253405673. The reversal of 8253405666 is 6665043528.

It is not an unprimeable number, because it can be changed into a prime (8253405661) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2467191 + ... + 2470533.

It is an arithmetic number, because the mean of its divisors is an integer number (209382888).

Almost surely, 2^8253405666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8253405666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10050378624).

8253405666 is an abundant number, since it is smaller than the sum of its proper divisors (11847351582).

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

8253405666 is a wasteful number, since it uses less digits than its factorization.

8253405666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3736 (or 3733 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The square root of 8253405666 is about 90848.2562628474. The cubic root of 8253405666 is about 2020.8980147622.

The spelling of 8253405666 in words is "eight billion, two hundred fifty-three million, four hundred five thousand, six hundred sixty-six".