563828705459712 has 2400 divisors, whose sum is σ = 2206873133650944. Its totient is φ = 141640947302400.

The previous prime is 563828705459699. The next prime is 563828705459717. The reversal of 563828705459712 is 217954507828365.

563828705459712 is a `hidden beast` number, since 5 + 6 + 3 + 8 + 2 + 8 + 7 + 0 + 545 + 9 + 71 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (563828705459717) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 84115870953 + ... + 84115877655.

It is a 1-persistent number, because it is pandigital, but 2⋅563828705459712 = 1127657410919424 is not.

Almost surely, 2^{563828705459712} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 563828705459712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103436566825472).

563828705459712 is an abundant number, since it is smaller than the sum of its proper divisors (1643044428191232).

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

563828705459712 is a wasteful number, since it uses less digits than its factorization.

563828705459712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6882 (or 6850 counting only the distinct ones).

The product of its (nonzero) digits is 1016064000, while the sum is 72.

The spelling of 563828705459712 in words is "five hundred sixty-three trillion, eight hundred twenty-eight billion, seven hundred five million, four hundred fifty-nine thousand, seven hundred twelve".