11184959442720 has 384 divisors, whose sum is σ = 40467452981760. Its totient is φ = 2543787048960.

The previous prime is 11184959442691. The next prime is 11184959442721. The reversal of 11184959442720 is 2724495948111.

It is not an unprimeable number, because it can be changed into a prime (11184959442721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 742045104 + ... + 742060176.

It is an arithmetic number, because the mean of its divisors is an integer number (105383992140).

Almost surely, 2^{11184959442720} is an apocalyptic number.

11184959442720 is a gapful number since it is divisible by the number (10) 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 11184959442720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20233726490880).

11184959442720 is an abundant number, since it is smaller than the sum of its proper divisors (29282493539040).

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

11184959442720 is a wasteful number, since it uses less digits than its factorization.

11184959442720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16188 (or 16180 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 57.

The spelling of 11184959442720 in words is "eleven trillion, one hundred eighty-four billion, nine hundred fifty-nine million, four hundred forty-two thousand, seven hundred twenty".