10563654640 has 160 divisors (see below), whose sum is σ = 30925877760. Its totient is φ = 3259776000.

The previous prime is 10563654631. The next prime is 10563654649. The reversal of 10563654640 is 4645636501.

10563654640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10563654631) and next prime (10563654649).

It is a super-3 number, since 3×10563654640³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 10563654593 and 10563654602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10563654649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 613671 + ... + 630649.

It is an arithmetic number, because the mean of its divisors is an integer number (193286736).

Almost surely, 2^10563654640 is an apocalyptic number.

10563654640 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 10563654640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15462938880).

10563654640 is an abundant number, since it is smaller than the sum of its proper divisors (20362223120).

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

10563654640 is a wasteful number, since it uses less digits than its factorization.

10563654640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17111 (or 17105 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 40.

The spelling of 10563654640 in words is "ten billion, five hundred sixty-three million, six hundred fifty-four thousand, six hundred forty".