566284385520 has 960 divisors, whose sum is σ = 2361158876160. Its totient is φ = 122173691904.

The previous prime is 566284385507. The next prime is 566284385561. The reversal of 566284385520 is 25583482665.

566284385520 is a `hidden beast` number, since 5 + 6 + 6 + 2 + 84 + 3 + 8 + 552 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 663873414 + ... + 663874266.

It is an arithmetic number, because the mean of its divisors is an integer number (2459540496).

Almost surely, 2^566284385520 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 566284385520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1180579438080).

566284385520 is an abundant number, since it is smaller than the sum of its proper divisors (1794874490640).

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

566284385520 is a wasteful number, since it uses less digits than its factorization.

566284385520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 54.

The spelling of 566284385520 in words is "five hundred sixty-six billion, two hundred eighty-four million, three hundred eighty-five thousand, five hundred twenty".