66086065584 has 180 divisors, whose sum is σ = 234703895400. Its totient is φ = 17165191680.

The previous prime is 66086065579. The next prime is 66086065589. The reversal of 66086065584 is 48556068066.

It is a happy number.

66086065584 is a `hidden beast` number, since 6 + 6 + 0 + 86 + 0 + 6 + 558 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (66086065579) and next prime (66086065589).

It is a super-2 number, since 2×66086065584² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 66086065584.

It is not an unprimeable number, because it can be changed into a prime (66086065589) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 348109 + ... + 503340.

It is an arithmetic number, because the mean of its divisors is an integer number (1303910530).

Almost surely, 2^66086065584 is an apocalyptic number.

It is an amenable number.

66086065584 is an abundant number, since it is smaller than the sum of its proper divisors (168617829816).

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

66086065584 is a wasteful number, since it uses less digits than its factorization.

66086065584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851488 (or 851472 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 66086065584 in words is "sixty-six billion, eighty-six million, sixty-five thousand, five hundred eighty-four".