10563635040 has 192 divisors, whose sum is σ = 39682814976. Its totient is φ = 2309548032.

The previous prime is 10563635039. The next prime is 10563635053. The reversal of 10563635040 is 4053636501.

It is a super-2 number, since 2×10563635040² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10563634992 and 10563635010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8934 + ... + 145626.

It is an arithmetic number, because the mean of its divisors is an integer number (206681328).

Almost surely, 2^10563635040 is an apocalyptic number.

10563635040 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 10563635040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19841407488).

10563635040 is an abundant number, since it is smaller than the sum of its proper divisors (29119179936).

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

10563635040 is a wasteful number, since it uses less digits than its factorization.

10563635040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136741 (or 136733 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

The spelling of 10563635040 in words is "ten billion, five hundred sixty-three million, six hundred thirty-five thousand, forty".