10669068800 has 240 divisors, whose sum is σ = 28803776232. Its totient is φ = 3892838400.

The previous prime is 10669068793. The next prime is 10669068827. The reversal of 10669068800 is 886096601.

It can be written as a sum of positive squares in 12 ways, for example, as 369254656 + 10299814144 = 19216^2 + 101488^2 .

It is a super-2 number, since 2×10669068800² (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 23 ways as a sum of consecutive naturals, for example, 16140470 + ... + 16141130.

Almost surely, 2^10669068800 is an apocalyptic number.

10669068800 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 10669068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14401888116).

10669068800 is an abundant number, since it is smaller than the sum of its proper divisors (18134707432).

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

10669068800 is an equidigital number, since it uses as much as digits as its factorization.

10669068800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 44.

The spelling of 10669068800 in words is "ten billion, six hundred sixty-nine million, sixty-eight thousand, eight hundred".