563505645830400 has 6912 divisors, whose sum is σ = 2834274274836480. Its totient is φ = 106164073267200.

The previous prime is 563505645830389. The next prime is 563505645830411. The reversal of 563505645830400 is 4038546505365.

563505645830400 is a `hidden beast` number, since 5 + 6 + 3 + 5 + 0 + 56 + 4 + 583 + 0 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (563505645830389) and next prime (563505645830411).

It is a tau number, because it is divible by the number of its divisors (6912).

It is a super-2 number, since 2×563505645830400² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 439209388159 + ... + 439209389441.

It is an arithmetic number, because the mean of its divisors is an integer number (410051255040).

Almost surely, 2^{563505645830400} is an apocalyptic number.

563505645830400 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 563505645830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1417137137418240).

563505645830400 is an abundant number, since it is smaller than the sum of its proper divisors (2270768629006080).

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

563505645830400 is a wasteful number, since it uses less digits than its factorization.

563505645830400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1439 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 25920000, while the sum is 54.

The spelling of 563505645830400 in words is "five hundred sixty-three trillion, five hundred five billion, six hundred forty-five million, eight hundred thirty thousand, four hundred".