11980268664 has 256 divisors, whose sum is σ = 39193190400. Its totient is φ = 2963215872.

The previous prime is 11980268647. The next prime is 11980268669. The reversal of 11980268664 is 46686208911.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11980268669) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4272687 + ... + 4275489.

It is an arithmetic number, because the mean of its divisors is an integer number (153098400).

Almost surely, 2^11980268664 is an apocalyptic number.

11980268664 is a gapful number since it is divisible by the number (14) 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 11980268664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19596595200).

11980268664 is an abundant number, since it is smaller than the sum of its proper divisors (27212921736).

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

11980268664 is a wasteful number, since it uses less digits than its factorization.

11980268664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2954 (or 2950 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 51.

The spelling of 11980268664 in words is "eleven billion, nine hundred eighty million, two hundred sixty-eight thousand, six hundred sixty-four".