11513120768 has 36 divisors (see below), whose sum is σ = 23030333235. Its totient is φ = 5754132480.

The previous prime is 11513120753. The next prime is 11513120777. The reversal of 11513120768 is 86702131511.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 5756560384 + 5756560384 = 75872^2 + 75872^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=75872.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 4854623 + ... + 4856993.

Almost surely, 2^11513120768 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 11513120768

11513120768 is an abundant number, since it is smaller than the sum of its proper divisors (11517212467).

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

11513120768 is an frugal number, since it uses more digits than its factorization.

11513120768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4764 (or 2373 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 35.

The spelling of 11513120768 in words is "eleven billion, five hundred thirteen million, one hundred twenty thousand, seven hundred sixty-eight".