563888902752 has 1152 divisors, whose sum is σ = 2097034168320. Its totient is φ = 145397514240.

The previous prime is 563888902751. The next prime is 563888902807. The reversal of 563888902752 is 257209888365.

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

It is a self number, because there is not a number n which added to its sum of digits gives 563888902752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (563888902751) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3376580173 + ... + 3376580339.

It is an arithmetic number, because the mean of its divisors is an integer number (1820342160).

Almost surely, 2^563888902752 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 563888902752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1048517084160).

563888902752 is an abundant number, since it is smaller than the sum of its proper divisors (1533145265568).

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

563888902752 is a wasteful number, since it uses less digits than its factorization.

563888902752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 563888902752 in words is "five hundred sixty-three billion, eight hundred eighty-eight million, nine hundred two thousand, seven hundred fifty-two".