10966130700 has 144 divisors (see below), whose sum is σ = 36465166080. Its totient is φ = 2492455680.

The previous prime is 10966130689. The next prime is 10966130719. The reversal of 10966130700 is 703166901.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 361314 + ... + 390486.

It is an arithmetic number, because the mean of its divisors is an integer number (253230320).

Almost surely, 2^10966130700 is an apocalyptic number.

10966130700 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 10966130700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18232583040).

10966130700 is an abundant number, since it is smaller than the sum of its proper divisors (25499035380).

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

10966130700 is a wasteful number, since it uses less digits than its factorization.

10966130700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29376 (or 29369 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The spelling of 10966130700 in words is "ten billion, nine hundred sixty-six million, one hundred thirty thousand, seven hundred".