10566432000 has 432 divisors, whose sum is σ = 40042941120. Its totient is φ = 2668032000.

The previous prime is 10566431977. The next prime is 10566432029. The reversal of 10566432000 is 23466501.

10566432000 is a `hidden beast` number, since 10 + 5 + 6 + 643 + 2 + 0 + 0 + 0 = 666.

10566432000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10566432000² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 5471035 + ... + 5472965.

Almost surely, 2^10566432000 is an apocalyptic number.

10566432000 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 10566432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20021470560).

10566432000 is an abundant number, since it is smaller than the sum of its proper divisors (29476509120).

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

10566432000 is a wasteful number, since it uses less digits than its factorization.

10566432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1987 (or 1960 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 10566432000 its reverse (23466501), we get a palindrome (10589898501).

The spelling of 10566432000 in words is "ten billion, five hundred sixty-six million, four hundred thirty-two thousand".