10605555555606 has 48 divisors (see below), whose sum is σ = 25745181563088. Its totient is φ = 3126945124800.

The previous prime is 10605555555593. The next prime is 10605555555607. The reversal of 10605555555606 is 60655555550601.

10605555555606 is a `hidden beast` number, since 10 + 60 + 5 + 5 + 5 + 5 + 5 + 5 + 560 + 6 = 666.

10605555555606 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10605555555606² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10605555555607) 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, 723822565 + ... + 723837216.

It is an arithmetic number, because the mean of its divisors is an integer number (536357949231).

Almost surely, 2^{10605555555606} is an apocalyptic number.

10605555555606 is an abundant number, since it is smaller than the sum of its proper divisors (15139626007482).

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

10605555555606 is a wasteful number, since it uses less digits than its factorization.

10605555555606 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1447659837 (or 1447659834 counting only the distinct ones).

The product of its (nonzero) digits is 16875000, while the sum is 54.

The spelling of 10605555555606 in words is "ten trillion, six hundred five billion, five hundred fifty-five million, five hundred fifty-five thousand, six hundred six".