566578022400 has 1728 divisors, whose sum is σ = 2359933954560. Its totient is φ = 133772083200.

The previous prime is 566578022341. The next prime is 566578022407. The reversal of 566578022400 is 4220875665.

566578022400 is a `hidden beast` number, since 56 + 6 + 578 + 0 + 2 + 24 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (566578022407) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5013964744 + ... + 5013964856.

It is an arithmetic number, because the mean of its divisors is an integer number (1365702520).

Almost surely, 2^566578022400 is an apocalyptic number.

566578022400 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 566578022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1179966977280).

566578022400 is an abundant number, since it is smaller than the sum of its proper divisors (1793355932160).

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

566578022400 is a wasteful number, since it uses less digits than its factorization.

566578022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 566578022400 in words is "five hundred sixty-six billion, five hundred seventy-eight million, twenty-two thousand, four hundred".