9712585657566 has 48 divisors (see below), whose sum is σ = 22957654487040. Its totient is φ = 2943126513360.

The previous prime is 9712585657549. The next prime is 9712585657571. The reversal of 9712585657566 is 6657565852179.

9712585657566 is a `hidden beast` number, since 9 + 7 + 1 + 2 + 5 + 8 + 5 + 6 + 57 + 566 = 666.

It is a super-2 number, since 2×9712585657566² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 9712585657494 and 9712585657503.

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, 6715555 + ... + 8032673.

It is an arithmetic number, because the mean of its divisors is an integer number (478284468480).

Almost surely, 2^{9712585657566} is an apocalyptic number.

9712585657566 is an abundant number, since it is smaller than the sum of its proper divisors (13245068829474).

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

9712585657566 is a wasteful number, since it uses less digits than its factorization.

9712585657566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354381 (or 1354378 counting only the distinct ones).

The product of its digits is 952560000, while the sum is 72.

The spelling of 9712585657566 in words is "nine trillion, seven hundred twelve billion, five hundred eighty-five million, six hundred fifty-seven thousand, five hundred sixty-six".