82575609966 has 24 divisors (see below), whose sum is σ = 178924571904. Its totient is φ = 27523549440.

The previous prime is 82575609901. The next prime is 82575609967. The reversal of 82575609966 is 66990657528.

82575609966 is a `hidden beast` number, since 8 + 2 + 5 + 7 + 560 + 9 + 9 + 66 = 666.

It is a super-2 number, since 2×82575609966² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82575609967) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 191310 + ... + 449166.

It is an arithmetic number, because the mean of its divisors is an integer number (7455190496).

Almost surely, 2^82575609966 is an apocalyptic number.

82575609966 is an abundant number, since it is smaller than the sum of its proper divisors (96348961938).

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

82575609966 is a wasteful number, since it uses less digits than its factorization.

82575609966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275656 (or 275653 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 82575609966 in words is "eighty-two billion, five hundred seventy-five million, six hundred nine thousand, nine hundred sixty-six".