566566890859200 has 672 divisors, whose sum is σ = 2322758985338880. Its totient is φ = 117459977932800.

The previous prime is 566566890859181. The next prime is 566566890859201. The reversal of 566566890859200 is 2958098665665.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (75).

It is not an unprimeable number, because it can be changed into a prime (566566890859201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 160508479 + ... + 164000321.

Almost surely, 2^{566566890859200} is an apocalyptic number.

566566890859200 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 566566890859200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1161379492669440).

566566890859200 is an abundant number, since it is smaller than the sum of its proper divisors (1756192094479680).

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

566566890859200 is a wasteful number, since it uses less digits than its factorization.

566566890859200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3492325 (or 3492310 counting only the distinct ones).

The product of its (nonzero) digits is 1679616000, while the sum is 75.

The spelling of 566566890859200 in words is "five hundred sixty-six trillion, five hundred sixty-six billion, eight hundred ninety million, eight hundred fifty-nine thousand, two hundred".