11682668928 has 512 divisors, whose sum is σ = 39606681600. Its totient is φ = 2976030720.

The previous prime is 11682668891. The next prime is 11682668971. The reversal of 11682668928 is 82986628611.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 74411826 + ... + 74411982.

It is an arithmetic number, because the mean of its divisors is an integer number (77356800).

Almost surely, 2^11682668928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11682668928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19803340800).

11682668928 is an abundant number, since it is smaller than the sum of its proper divisors (27924012672).

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

11682668928 is a wasteful number, since it uses less digits than its factorization.

11682668928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 266 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 57.

The spelling of 11682668928 in words is "eleven billion, six hundred eighty-two million, six hundred sixty-eight thousand, nine hundred twenty-eight".