10669128192 has 400 divisors, whose sum is σ = 34713704520. Its totient is φ = 3248750592.

The previous prime is 10669128187. The next prime is 10669128203. The reversal of 10669128192 is 29182196601.

It can be written as a sum of positive squares in 4 ways, for example, as 10131630336 + 537497856 = 100656^2 + 23184^2 .

It is a super-2 number, since 2×10669128192² (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 39 ways as a sum of consecutive naturals, for example, 26085684 + ... + 26086092.

Almost surely, 2^10669128192 is an apocalyptic number.

10669128192 is a gapful number since it is divisible by the number (12) 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 10669128192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17356852260).

10669128192 is an abundant number, since it is smaller than the sum of its proper divisors (24044576328).

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

10669128192 is an equidigital number, since it uses as much as digits as its factorization.

10669128192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 10669128192 in words is "ten billion, six hundred sixty-nine million, one hundred twenty-eight thousand, one hundred ninety-two".