11482789824 has 224 divisors, whose sum is σ = 36930055680. Its totient is φ = 3469824000.

The previous prime is 11482789771. The next prime is 11482789849. The reversal of 11482789824 is 42898728411.

11482789824 is a `hidden beast` number, since 1 + 1 + 482 + 7 + 89 + 82 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9560424 + ... + 9561624.

It is an arithmetic number, because the mean of its divisors is an integer number (164866320).

Almost surely, 2^11482789824 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 11482789824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18465027840).

11482789824 is an abundant number, since it is smaller than the sum of its proper divisors (25447265856).

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

11482789824 is a wasteful number, since it uses less digits than its factorization.

11482789824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1736 (or 1720 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 54.

It can be divided in two parts, 1148 and 2789824, that added together give a palindrome (2790972).

The spelling of 11482789824 in words is "eleven billion, four hundred eighty-two million, seven hundred eighty-nine thousand, eight hundred twenty-four".