10561635468 has 96 divisors (see below), whose sum is σ = 27763384320. Its totient is φ = 3471854400.

The previous prime is 10561635467. The next prime is 10561635481. The reversal of 10561635468 is 86453616501.

10561635468 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 1 + 635 + 4 + 6 + 8 = 666.

It is a super-2 number, since 2×10561635468² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10561635467) 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, 2370643 + ... + 2375093.

It is an arithmetic number, because the mean of its divisors is an integer number (289201920).

Almost surely, 2^10561635468 is an apocalyptic number.

10561635468 is a gapful number since it is divisible by the number (18) 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 10561635468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13881692160).

10561635468 is an abundant number, since it is smaller than the sum of its proper divisors (17201748852).

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

10561635468 is a wasteful number, since it uses less digits than its factorization.

10561635468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4764 (or 4756 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 10561635468 in words is "ten billion, five hundred sixty-one million, six hundred thirty-five thousand, four hundred sixty-eight".