13120076928 has 384 divisors, whose sum is σ = 42508247040. Its totient is φ = 3570739200.

The previous prime is 13120076911. The next prime is 13120076941. The reversal of 13120076928 is 82967002131.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48413433 + ... + 48413703.

It is an arithmetic number, because the mean of its divisors is an integer number (110698560).

Almost surely, 2^13120076928 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 13120076928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21254123520).

13120076928 is an abundant number, since it is smaller than the sum of its proper divisors (29388170112).

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

13120076928 is a wasteful number, since it uses less digits than its factorization.

13120076928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The spelling of 13120076928 in words is "thirteen billion, one hundred twenty million, seventy-six thousand, nine hundred twenty-eight".