10564434882 has 240 divisors, whose sum is σ = 26959806720. Its totient is φ = 3084480000.

The previous prime is 10564434821. The next prime is 10564434901. The reversal of 10564434882 is 28843446501.

10564434882 is a `hidden beast` number, since 1 + 0 + 564 + 4 + 3 + 4 + 8 + 82 = 666.

It is a super-2 number, since 2×10564434882² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 42089257 + ... + 42089507.

It is an arithmetic number, because the mean of its divisors is an integer number (112332528).

Almost surely, 2^10564434882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10564434882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13479903360).

10564434882 is an abundant number, since it is smaller than the sum of its proper divisors (16395371838).

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

10564434882 is a wasteful number, since it uses less digits than its factorization.

10564434882 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 10564434882 in words is "ten billion, five hundred sixty-four million, four hundred thirty-four thousand, eight hundred eighty-two".