566217221400 has 576 divisors, whose sum is σ = 2018922343200. Its totient is φ = 145805736960.

The previous prime is 566217221399. The next prime is 566217221447. The reversal of 566217221400 is 4122712665.

It is a happy number.

566217221400 is a `hidden beast` number, since 5 + 6 + 6 + 21 + 7 + 221 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 1786174042 + ... + 1786174358.

Almost surely, 2^566217221400 is an apocalyptic number.

566217221400 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 566217221400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1009461171600).

566217221400 is an abundant number, since it is smaller than the sum of its proper divisors (1452705121800).

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

566217221400 is a wasteful number, since it uses less digits than its factorization.

566217221400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 566217221400 in words is "five hundred sixty-six billion, two hundred seventeen million, two hundred twenty-one thousand, four hundred".