10668009888 has 144 divisors (see below), whose sum is σ = 30958534152. Its totient is φ = 3483648000.

The previous prime is 10668009839. The next prime is 10668009901. The reversal of 10668009888 is 88890086601.

It can be written as a sum of positive squares in 4 ways, for example, as 7840748304 + 2827261584 = 88548^2 + 53172^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×10668009888² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4935528 + ... + 4937688.

Almost surely, 2^10668009888 is an apocalyptic number.

10668009888 is a gapful number since it is divisible by the number (18) 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 10668009888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15479267076).

10668009888 is an abundant number, since it is smaller than the sum of its proper divisors (20290524264).

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

10668009888 is a wasteful number, since it uses less digits than its factorization.

10668009888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2519 (or 2508 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The spelling of 10668009888 in words is "ten billion, six hundred sixty-eight million, nine thousand, eight hundred eighty-eight".