2005179965711 has 32 divisors (see below), whose sum is σ = 2293477536000. Its totient is φ = 1737825954048.

The previous prime is 2005179965617. The next prime is 2005179965771. The reversal of 2005179965711 is 1175699715002.

It is a cyclic number.

It is not a de Polignac number, because 2005179965711 - 2¹⁸ = 2005179703567 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005179965771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19484156 + ... + 19586798.

It is an arithmetic number, because the mean of its divisors is an integer number (71671173000).

Almost surely, 2^{2005179965711} is an apocalyptic number.

2005179965711 is a deficient number, since it is larger than the sum of its proper divisors (288297570289).

2005179965711 is a wasteful number, since it uses less digits than its factorization.

2005179965711 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103383.

The product of its (nonzero) digits is 1190700, while the sum is 53.

The spelling of 2005179965711 in words is "two trillion, five billion, one hundred seventy-nine million, nine hundred sixty-five thousand, seven hundred eleven".