566210550672 has 600 divisors, whose sum is σ = 1842084141480. Its totient is φ = 167692861440.

The previous prime is 566210550641. The next prime is 566210550727. The reversal of 566210550672 is 276055012665.

566210550672 is a `hidden beast` number, since 5 + 6 + 6 + 21 + 0 + 550 + 6 + 72 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 27078677136 + 539131873536 = 164556^2 + 734256^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 883323472 + ... + 883324112.

Almost surely, 2^566210550672 is an apocalyptic number.

566210550672 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 566210550672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921042070740).

566210550672 is an abundant number, since it is smaller than the sum of its proper divisors (1275873590808).

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

566210550672 is a wasteful number, since it uses less digits than its factorization.

566210550672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 566210550672 in words is "five hundred sixty-six billion, two hundred ten million, five hundred fifty thousand, six hundred seventy-two".