6580086407761 has 16 divisors (see below), whose sum is σ = 6724128614400. Its totient is φ = 6436214034768.

The previous prime is 6580086407683. The next prime is 6580086407827. The reversal of 6580086407761 is 1677046800856.

It is a happy number.

6580086407761 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 6580086407761 - 2⁹ = 6580086407249 is a prime.

It is a super-2 number, since 2×6580086407761² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 6580086407696 and 6580086407705.

It is not an unprimeable number, because it can be changed into a prime (6580086407861) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 985187020 + ... + 985193698.

It is an arithmetic number, because the mean of its divisors is an integer number (420258038400).

Almost surely, 2^{6580086407761} is an apocalyptic number.

It is an amenable number.

6580086407761 is a deficient number, since it is larger than the sum of its proper divisors (144042206639).

6580086407761 is a wasteful number, since it uses less digits than its factorization.

6580086407761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16188.

The product of its (nonzero) digits is 13547520, while the sum is 58.

The spelling of 6580086407761 in words is "six trillion, five hundred eighty billion, eighty-six million, four hundred seven thousand, seven hundred sixty-one".