10066166505 has 24 divisors (see below), whose sum is σ = 17450372160. Its totient is φ = 5367899040.

The previous prime is 10066166501. The next prime is 10066166507. The reversal of 10066166505 is 50566166001.

It is not a de Polignac number, because 10066166505 - 2² = 10066166501 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10066166505.

It is not an unprimeable number, because it can be changed into a prime (10066166501) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 588220 + ... + 605090.

It is an arithmetic number, because the mean of its divisors is an integer number (727098840).

Almost surely, 2^10066166505 is an apocalyptic number.

10066166505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10066166505 is a deficient number, since it is larger than the sum of its proper divisors (7384205655).

10066166505 is a wasteful number, since it uses less digits than its factorization.

10066166505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30141 (or 30138 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 10066166505 in words is "ten billion, sixty-six million, one hundred sixty-six thousand, five hundred five".