10669508960 has 96 divisors (see below), whose sum is σ = 27726045984. Its totient is φ = 3879744000.

The previous prime is 10669508951. The next prime is 10669508981. The reversal of 10669508960 is 6980596601.

It is a super-2 number, since 2×10669508960² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10669508899 and 10669508908.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 187910 + ... + 238010.

It is an arithmetic number, because the mean of its divisors is an integer number (288812979).

Almost surely, 2^10669508960 is an apocalyptic number.

10669508960 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 10669508960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13863022992).

10669508960 is an abundant number, since it is smaller than the sum of its proper divisors (17056537024).

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

10669508960 is an equidigital number, since it uses as much as digits as its factorization.

10669508960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50149 (or 50119 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 50.

The spelling of 10669508960 in words is "ten billion, six hundred sixty-nine million, five hundred eight thousand, nine hundred sixty".