11345266680 has 128 divisors (see below), whose sum is σ = 37577675520. Its totient is φ = 2717204480.

The previous prime is 11345266679. The next prime is 11345266721. The reversal of 11345266680 is 8666254311.

11345266680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57784 + ... + 161336.

It is an arithmetic number, because the mean of its divisors is an integer number (293575590).

Almost surely, 2^11345266680 is an apocalyptic number.

11345266680 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 11345266680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18788837760).

11345266680 is an abundant number, since it is smaller than the sum of its proper divisors (26232408840).

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

11345266680 is a wasteful number, since it uses less digits than its factorization.

11345266680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103661 (or 103657 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 11345266680 in words is "eleven billion, three hundred forty-five million, two hundred sixty-six thousand, six hundred eighty".