10405535166 has 72 divisors (see below), whose sum is σ = 24629844096. Its totient is φ = 3173264640.

The previous prime is 10405535149. The next prime is 10405535167. The reversal of 10405535166 is 66153550401.

10405535166 is a `hidden beast` number, since 1 + 0 + 40 + 553 + 5 + 1 + 66 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 10405535166.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10405535167) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 328611 + ... + 358881.

It is an arithmetic number, because the mean of its divisors is an integer number (342081168).

Almost surely, 2^10405535166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10405535166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12314922048).

10405535166 is an abundant number, since it is smaller than the sum of its proper divisors (14224308930).

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

10405535166 is a wasteful number, since it uses less digits than its factorization.

10405535166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30418 (or 30402 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 10405535166 in words is "ten billion, four hundred five million, five hundred thirty-five thousand, one hundred sixty-six".