10563805385280 has 1344 divisors, whose sum is σ = 44231795712000. Its totient is φ = 2260449607680.

The previous prime is 10563805385279. The next prime is 10563805385303. The reversal of 10563805385280 is 8258350836501.

It is a happy number.

10563805385280 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 3 + 80 + 5 + 38 + 528 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-3 number, since 3×10563805385280³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15466771819 + ... + 15466772501.

Almost surely, 2^{10563805385280} is an apocalyptic number.

10563805385280 is a gapful number since it is divisible by the number (10) 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 10563805385280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22115897856000).

10563805385280 is an abundant number, since it is smaller than the sum of its proper divisors (33667990326720).

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

10563805385280 is a wasteful number, since it uses less digits than its factorization.

10563805385280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 10563805385280 in words is "ten trillion, five hundred sixty-three billion, eight hundred five million, three hundred eighty-five thousand, two hundred eighty".