11585401344 has 480 divisors, whose sum is σ = 38546247168. Its totient is φ = 3317760000.

The previous prime is 11585401339. The next prime is 11585401363. The reversal of 11585401344 is 44310458511.

11585401344 is a `hidden beast` number, since 1 + 1 + 585 + 40 + 1 + 34 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 11585401299 and 11585401308.

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, 114706894 + ... + 114706994.

Almost surely, 2^11585401344 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 11585401344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19273123584).

11585401344 is an abundant number, since it is smaller than the sum of its proper divisors (26960845824).

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

11585401344 is a wasteful number, since it uses less digits than its factorization.

11585401344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

Adding to 11585401344 its reverse (44310458511), we get a palindrome (55895859855).

The spelling of 11585401344 in words is "eleven billion, five hundred eighty-five million, four hundred one thousand, three hundred forty-four".