563578002554112 has 720 divisors, whose sum is σ = 2070925995225472. Its totient is φ = 148446701568000.

The previous prime is 563578002554101. The next prime is 563578002554117. The reversal of 563578002554112 is 211455200875365.

563578002554112 is a `hidden beast` number, since 5 + 6 + 3 + 5 + 7 + 80 + 0 + 2 + 5 + 541 + 12 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (563578002554117) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 1484860362 + ... + 1485239862.

Almost surely, 2^{563578002554112} is an apocalyptic number.

563578002554112 is a gapful number since it is divisible by the number (52) 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 563578002554112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1035462997612736).

563578002554112 is an abundant number, since it is smaller than the sum of its proper divisors (1507347992671360).

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

563578002554112 is a wasteful number, since it uses less digits than its factorization.

563578002554112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380336 (or 380313 counting only the distinct ones).

The product of its (nonzero) digits is 10080000, while the sum is 54.

The spelling of 563578002554112 in words is "five hundred sixty-three trillion, five hundred seventy-eight billion, two million, five hundred fifty-four thousand, one hundred twelve".