10563400760 has 128 divisors (see below), whose sum is σ = 26449364160. Its totient is φ = 3764736000.

The previous prime is 10563400751. The next prime is 10563400763. The reversal of 10563400760 is 6700436501.

It is a super-2 number, since 2×10563400760² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10563400763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5555810 + ... + 5557710.

Almost surely, 2^10563400760 is an apocalyptic number.

10563400760 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 10563400760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13224682080).

10563400760 is an abundant number, since it is smaller than the sum of its proper divisors (15885963400).

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

10563400760 is a wasteful number, since it uses less digits than its factorization.

10563400760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2169 (or 2165 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The spelling of 10563400760 in words is "ten billion, five hundred sixty-three million, four hundred thousand, seven hundred sixty".