566030574720 has 2048 divisors, whose sum is σ = 2498428800000. Its totient is φ = 119503060992.

The previous prime is 566030574679. The next prime is 566030574721. The reversal of 566030574720 is 27475030665.

566030574720 is a `hidden beast` number, since 5 + 6 + 6 + 0 + 3 + 0 + 574 + 72 + 0 = 666.

It is a super-2 number, since 2×566030574720² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (566030574721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2104202746 + ... + 2104203014.

Almost surely, 2^566030574720 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 566030574720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249214400000).

566030574720 is an abundant number, since it is smaller than the sum of its proper divisors (1932398225280).

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

566030574720 is a wasteful number, since it uses less digits than its factorization.

566030574720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 566030574720 in words is "five hundred sixty-six billion, thirty million, five hundred seventy-four thousand, seven hundred twenty".