11479779584 has 432 divisors, whose sum is σ = 31444577136. Its totient is φ = 4128768000.

The previous prime is 11479779559. The next prime is 11479779593. The reversal of 11479779584 is 48597797411.

It can be written as a sum of positive squares in 8 ways, for example, as 15366400 + 11464413184 = 3920^2 + 107072^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 113661134 + ... + 113661234.

It is an arithmetic number, because the mean of its divisors is an integer number (72788373).

Almost surely, 2^11479779584 is an apocalyptic number.

11479779584 is a gapful number since it is divisible by the number (14) 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 11479779584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15722288568).

11479779584 is an abundant number, since it is smaller than the sum of its proper divisors (19964797552).

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

11479779584 is a wasteful number, since it uses less digits than its factorization.

11479779584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 181 counting only the distinct ones).

The product of its digits is 17781120, while the sum is 62.

The spelling of 11479779584 in words is "eleven billion, four hundred seventy-nine million, seven hundred seventy-nine thousand, five hundred eighty-four".