566416281600 has 1872 divisors, whose sum is σ = 2422333210752. Its totient is φ = 129950023680.

The previous prime is 566416281569. The next prime is 566416281643. The reversal of 566416281600 is 6182614665.

566416281600 is a `hidden beast` number, since 5 + 6 + 6 + 4 + 1 + 628 + 16 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1872).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5499187149 + ... + 5499187251.

It is an arithmetic number, because the mean of its divisors is an integer number (1293981416).

Almost surely, 2^566416281600 is an apocalyptic number.

566416281600 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 566416281600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211166605376).

566416281600 is an abundant number, since it is smaller than the sum of its proper divisors (1855916929152).

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

566416281600 is a wasteful number, since it uses less digits than its factorization.

566416281600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 566416281600 in words is "five hundred sixty-six billion, four hundred sixteen million, two hundred eighty-one thousand, six hundred".