563748501888000 has 3960 divisors, whose sum is σ = 2501567227439280. Its totient is φ = 126106066944000.

The previous prime is 563748501887891. The next prime is 563748501888083. The reversal of 563748501888000 is 888105847365.

563748501888000 is a `hidden beast` number, since 5 + 6 + 3 + 7 + 48 + 501 + 8 + 8 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3960).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 212015230671 + ... + 212015233329.

It is an arithmetic number, because the mean of its divisors is an integer number (631708895818).

Almost surely, 2^{563748501888000} is an apocalyptic number.

563748501888000 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 563748501888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1250783613719640).

563748501888000 is an abundant number, since it is smaller than the sum of its proper divisors (1937818725551280).

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

563748501888000 is a wasteful number, since it uses less digits than its factorization.

563748501888000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2754 (or 2693 counting only the distinct ones).

The product of its (nonzero) digits is 51609600, while the sum is 63.

The spelling of 563748501888000 in words is "five hundred sixty-three trillion, seven hundred forty-eight billion, five hundred one million, eight hundred eighty-eight thousand".