10006668288 has 352 divisors, whose sum is σ = 31992153600. Its totient is φ = 3079544832.

The previous prime is 10006668247. The next prime is 10006668293. The reversal of 10006668288 is 88286660001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22588195 + ... + 22588637.

It is an arithmetic number, because the mean of its divisors is an integer number (90886800).

Almost surely, 2^10006668288 is an apocalyptic number.

10006668288 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 10006668288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15996076800).

10006668288 is an abundant number, since it is smaller than the sum of its proper divisors (21985485312).

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

10006668288 is a wasteful number, since it uses less digits than its factorization.

10006668288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 10006668288 in words is "ten billion, six million, six hundred sixty-eight thousand, two hundred eighty-eight".