66589498566 has 48 divisors (see below), whose sum is σ = 145829183760. Its totient is φ = 21958113600.

The previous prime is 66589498543. The next prime is 66589498601.

66589498566 is a `hidden beast` number, since 6 + 6 + 5 + 89 + 498 + 56 + 6 = 666.

66589498566 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×66589498566² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 66589498494 and 66589498503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2219421 + ... + 2249223.

It is an arithmetic number, because the mean of its divisors is an integer number (3038107995).

Almost surely, 2^66589498566 is an apocalyptic number.

66589498566 is an abundant number, since it is smaller than the sum of its proper divisors (79239685194).

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

66589498566 is a wasteful number, since it uses less digits than its factorization.

66589498566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31141 (or 31138 counting only the distinct ones).

The product of its digits is 671846400, while the sum is 72.

The spelling of 66589498566 in words is "sixty-six billion, five hundred eighty-nine million, four hundred ninety-eight thousand, five hundred sixty-six".