566772411296000 has 1296 divisors, whose sum is σ = 1849036154395248. Its totient is φ = 171571986432000.

The previous prime is 566772411295969. The next prime is 566772411296087. The reversal of 566772411296000 is 692114277665.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 181368923459584 + 385403487836416 = 13467328^2 + 19631696^2 .

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10783109720 + ... + 10783162280.

Almost surely, 2^{566772411296000} is an apocalyptic number.

566772411296000 is a gapful number since it is divisible by the number (50) 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 566772411296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924518077197624).

566772411296000 is an abundant number, since it is smaller than the sum of its proper divisors (1282263743099248).

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

566772411296000 is a wasteful number, since it uses less digits than its factorization.

566772411296000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52665 (or 52611 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 56.

The spelling of 566772411296000 in words is "five hundred sixty-six trillion, seven hundred seventy-two billion, four hundred eleven million, two hundred ninety-six thousand".