563262219878400 has 2400 divisors, whose sum is σ = 2510957960280000. Its totient is φ = 121938986926080.

The previous prime is 563262219878387. The next prime is 563262219878431. The reversal of 563262219878400 is 4878912262365.

563262219878400 is a `hidden beast` number, since 5 + 6 + 3 + 2 + 6 + 2 + 219 + 8 + 7 + 8 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a super-2 number, since 2×563262219878400² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 141203863606 + ... + 141203867594.

It is an arithmetic number, because the mean of its divisors is an integer number (1046232483450).

It is a 2-persistent number, because it is pandigital, and so is 2⋅563262219878400 = 1126524439756800, but 3⋅563262219878400 = 1689786659635200 is not.

Almost surely, 2^{563262219878400} is an apocalyptic number.

563262219878400 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 563262219878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1255478980140000).

563262219878400 is an abundant number, since it is smaller than the sum of its proper divisors (1947695740401600).

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

563262219878400 is an frugal number, since it uses more digits than its factorization.

563262219878400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4075 (or 4025 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 563262219878400 in words is "five hundred sixty-three trillion, two hundred sixty-two billion, two hundred nineteen million, eight hundred seventy-eight thousand, four hundred".