11379576384 has 448 divisors, whose sum is σ = 37892736000. Its totient is φ = 3319418880.

The previous prime is 11379576371. The next prime is 11379576389. The reversal of 11379576384 is 48367597311.

11379576384 is a `hidden beast` number, since 1 + 1 + 37 + 9 + 576 + 38 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 11379576384.

It is not an unprimeable number, because it can be changed into a prime (11379576389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 81867387 + ... + 81867525.

It is an arithmetic number, because the mean of its divisors is an integer number (84582000).

Almost surely, 2^11379576384 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 11379576384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18946368000).

11379576384 is an abundant number, since it is smaller than the sum of its proper divisors (26513159616).

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

11379576384 is a wasteful number, since it uses less digits than its factorization.

11379576384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 287 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The spelling of 11379576384 in words is "eleven billion, three hundred seventy-nine million, five hundred seventy-six thousand, three hundred eighty-four".