10166962806 has 192 divisors, whose sum is σ = 30566592000. Its totient is φ = 2437490880.

The previous prime is 10166962801. The next prime is 10166962843. The reversal of 10166962806 is 60826966101.

10166962806 is a `hidden beast` number, since 1 + 0 + 16 + 6 + 9 + 628 + 0 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10166962801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 586045 + ... + 603143.

It is an arithmetic number, because the mean of its divisors is an integer number (159201000).

Almost surely, 2^10166962806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10166962806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15283296000).

10166962806 is an abundant number, since it is smaller than the sum of its proper divisors (20399629194).

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

10166962806 is a wasteful number, since it uses less digits than its factorization.

10166962806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17152 (or 17135 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 10166962806 in words is "ten billion, one hundred sixty-six million, nine hundred sixty-two thousand, eight hundred six".