11173260384 has 576 divisors, whose sum is σ = 39956716800. Its totient is φ = 2911334400.

The previous prime is 11173260377. The next prime is 11173260391. The reversal of 11173260384 is 48306237111.

It is a happy number.

11173260384 is a `hidden beast` number, since 1 + 1 + 17 + 3 + 260 + 384 = 666.

11173260384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11173260377) and next prime (11173260391).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 85291999 + ... + 85292129.

It is an arithmetic number, because the mean of its divisors is an integer number (69369300).

Almost surely, 2^11173260384 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 11173260384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19978358400).

11173260384 is an abundant number, since it is smaller than the sum of its proper divisors (28783456416).

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

11173260384 is a wasteful number, since it uses less digits than its factorization.

11173260384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Adding to 11173260384 its reverse (48306237111), we get a palindrome (59479497495).

The spelling of 11173260384 in words is "eleven billion, one hundred seventy-three million, two hundred sixty thousand, three hundred eighty-four".