12711780928 has 224 divisors, whose sum is σ = 32612917248. Its totient is φ = 4772812800.

The previous prime is 12711780883. The next prime is 12711780943. The reversal of 12711780928 is 82908711721.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-4 number, since 4×12711780928⁴ (a number of 42 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16444350 + ... + 16445122.

Almost surely, 2^12711780928 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 12711780928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16306458624).

12711780928 is an abundant number, since it is smaller than the sum of its proper divisors (19901136320).

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

12711780928 is a wasteful number, since it uses less digits than its factorization.

12711780928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 46.

The spelling of 12711780928 in words is "twelve billion, seven hundred eleven million, seven hundred eighty thousand, nine hundred twenty-eight".