566003728253700 has 432 divisors, whose sum is σ = 2049726529730880. Its totient is φ = 129110768640000.

The previous prime is 566003728253693. The next prime is 566003728253779. The reversal of 566003728253700 is 7352827300665.

It is a happy number.

566003728253700 is a `hidden beast` number, since 5 + 6 + 600 + 3 + 7 + 2 + 8 + 25 + 3 + 7 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 706628031 + ... + 707428569.

It is an arithmetic number, because the mean of its divisors is an integer number (4744737337340).

Almost surely, 2^{566003728253700} is an apocalyptic number.

566003728253700 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 566003728253700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1024863264865440).

566003728253700 is an abundant number, since it is smaller than the sum of its proper divisors (1483722801477180).

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

566003728253700 is a wasteful number, since it uses less digits than its factorization.

566003728253700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804788 (or 804778 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 566003728253700 in words is "five hundred sixty-six trillion, three billion, seven hundred twenty-eight million, two hundred fifty-three thousand, seven hundred".