10806661008000 has 5376 divisors, whose sum is σ = 51813698227200. Its totient is φ = 2217093120000.

The previous prime is 10806661007993. The next prime is 10806661008001. The reversal of 10806661008000 is 80016660801.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10806661008001) by changing a digit.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 348601967985 + ... + 348601968015.

It is an arithmetic number, because the mean of its divisors is an integer number (9637964700).

Almost surely, 2^{10806661008000} is an apocalyptic number.

10806661008000 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 10806661008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25906849113600).

10806661008000 is an abundant number, since it is smaller than the sum of its proper divisors (41007037219200).

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

10806661008000 is a wasteful number, since it uses less digits than its factorization.

10806661008000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

Adding to 10806661008000 its reverse (80016660801), we get a palindrome (10886677668801).

The spelling of 10806661008000 in words is "ten trillion, eight hundred six billion, six hundred sixty-one million, eight thousand".