10665661005008 has 160 divisors (see below), whose sum is σ = 22614138316800. Its totient is φ = 4854248036352.

The previous prime is 10665661005007. The next prime is 10665661005019. The reversal of 10665661005008 is 80050016656601.

It is a super-2 number, since 2×10665661005008² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10665661005008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10665661005007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 257684891 + ... + 257726277.

It is an arithmetic number, because the mean of its divisors is an integer number (141338364480).

Almost surely, 2^{10665661005008} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10665661005008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11307069158400).

10665661005008 is an abundant number, since it is smaller than the sum of its proper divisors (11948477311792).

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

10665661005008 is a wasteful number, since it uses less digits than its factorization.

10665661005008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41737 (or 41731 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 44.

The spelling of 10665661005008 in words is "ten trillion, six hundred sixty-five billion, six hundred sixty-one million, five thousand, eight".