11513090376 has 24 divisors (see below), whose sum is σ = 31181286630. Its totient is φ = 3837696768.

The previous prime is 11513090371. The next prime is 11513090383. The reversal of 11513090376 is 67309031511.

11513090376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 8728417476 + 2784672900 = 93426^2 + 52770^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 11513090376.

It is not an unprimeable number, because it can be changed into a prime (11513090371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 79951945 + ... + 79952088.

Almost surely, 2^11513090376 is an apocalyptic number.

It is an amenable number.

11513090376 is an abundant number, since it is smaller than the sum of its proper divisors (19668196254).

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

11513090376 is a wasteful number, since it uses less digits than its factorization.

11513090376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159904045 (or 159904038 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The spelling of 11513090376 in words is "eleven billion, five hundred thirteen million, ninety thousand, three hundred seventy-six".