575665667712 has 320 divisors, whose sum is σ = 1852567770240. Its totient is φ = 176755875840.

The previous prime is 575665667711. The next prime is 575665667791. The reversal of 575665667712 is 217766566575.

575665667712 is a `hidden beast` number, since 5 + 7 + 5 + 66 + 566 + 7 + 7 + 1 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 575665667712.

It is not an unprimeable number, because it can be changed into a prime (575665667711) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8249287 + ... + 8318777.

It is an arithmetic number, because the mean of its divisors is an integer number (5789274282).

Almost surely, 2^575665667712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 575665667712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926283885120).

575665667712 is an abundant number, since it is smaller than the sum of its proper divisors (1276902102528).

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

575665667712 is a wasteful number, since it uses less digits than its factorization.

575665667712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69581 (or 69560 counting only the distinct ones).

The product of its digits is 111132000, while the sum is 63.

The spelling of 575665667712 in words is "five hundred seventy-five billion, six hundred sixty-five million, six hundred sixty-seven thousand, seven hundred twelve".