10563002496 has 384 divisors, whose sum is σ = 33728348160. Its totient is φ = 3158507520.

The previous prime is 10563002431. The next prime is 10563002507. The reversal of 10563002496 is 69420036501.

10563002496 = T₁₉ + T₂₀ + ... + T₃₉₈₆.

It is a happy number.

10563002496 is a `hidden beast` number, since 1 + 0 + 563 + 0 + 0 + 2 + 4 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×10563002496² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10563002496.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77102140 + ... + 77102276.

It is an arithmetic number, because the mean of its divisors is an integer number (87834240).

Almost surely, 2^10563002496 is an apocalyptic number.

10563002496 is a gapful number since it is divisible by the number (16) 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 10563002496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16864174080).

10563002496 is an abundant number, since it is smaller than the sum of its proper divisors (23165345664).

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

10563002496 is a wasteful number, since it uses less digits than its factorization.

10563002496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

Adding to 10563002496 its reverse (69420036501), we get a palindrome (79983038997).

The spelling of 10563002496 in words is "ten billion, five hundred sixty-three million, two thousand, four hundred ninety-six".