10605555555599 has 16 divisors (see below), whose sum is σ = 11110140887040. Its totient is φ = 10104639452160.

The previous prime is 10605555555593. The next prime is 10605555555607. The reversal of 10605555555599 is 99555555550601.

It is a cyclic number.

It is not a de Polignac number, because 10605555555599 - 2¹⁶ = 10605555490063 is a prime.

It is a super-2 number, since 2×10605555555599² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10605555555593) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9552434 + ... + 10604720.

It is an arithmetic number, because the mean of its divisors is an integer number (694383805440).

Almost surely, 2^{10605555555599} is an apocalyptic number.

10605555555599 is a deficient number, since it is larger than the sum of its proper divisors (504585331441).

10605555555599 is a wasteful number, since it uses less digits than its factorization.

10605555555599 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054030.

The product of its (nonzero) digits is 189843750, while the sum is 65.

The spelling of 10605555555599 in words is "ten trillion, six hundred five billion, five hundred fifty-five million, five hundred fifty-five thousand, five hundred ninety-nine".