566150434920 has 768 divisors, whose sum is σ = 2269312381440. Its totient is φ = 119478288384.

The previous prime is 566150434901. The next prime is 566150434921. The reversal of 566150434920 is 29434051665.

566150434920 is a `hidden beast` number, since 5 + 6 + 6 + 150 + 4 + 3 + 492 + 0 = 666.

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 (566150434921) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 517977894 + ... + 517978986.

It is an arithmetic number, because the mean of its divisors is an integer number (2954833830).

Almost surely, 2^566150434920 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 566150434920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1134656190720).

566150434920 is an abundant number, since it is smaller than the sum of its proper divisors (1703161946520).

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

566150434920 is a wasteful number, since it uses less digits than its factorization.

566150434920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354 (or 1347 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 566150434920 in words is "five hundred sixty-six billion, one hundred fifty million, four hundred thirty-four thousand, nine hundred twenty".