10666443600 has 360 divisors, whose sum is σ = 38858227200. Its totient is φ = 2705740800.

The previous prime is 10666443589. The next prime is 10666443643. The reversal of 10666443600 is 634466601.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×10666443600² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7411681 + ... + 7413119.

It is an arithmetic number, because the mean of its divisors is an integer number (107939520).

Almost surely, 2^10666443600 is an apocalyptic number.

10666443600 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 10666443600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19429113600).

10666443600 is an abundant number, since it is smaller than the sum of its proper divisors (28191783600).

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

10666443600 is a wasteful number, since it uses less digits than its factorization.

10666443600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1563 (or 1549 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 10666443600 in words is "ten billion, six hundred sixty-six million, four hundred forty-three thousand, six hundred".