11513317776 has 80 divisors (see below), whose sum is σ = 30742032384. Its totient is φ = 3710803072.

The previous prime is 11513317771. The next prime is 11513317793. The reversal of 11513317776 is 67771331511.

It is a happy number.

11513317776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11513317776² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11513317771) 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 15 ways as a sum of consecutive naturals, for example, 156505 + ... + 217991.

Almost surely, 2^11513317776 is an apocalyptic number.

11513317776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11513317776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15371016192).

11513317776 is an abundant number, since it is smaller than the sum of its proper divisors (19228714608).

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

11513317776 is a wasteful number, since it uses less digits than its factorization.

11513317776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61628 (or 61622 counting only the distinct ones).

The product of its digits is 92610, while the sum is 42.

The spelling of 11513317776 in words is "eleven billion, five hundred thirteen million, three hundred seventeen thousand, seven hundred seventy-six".