11184354221040 has 5760 divisors, whose sum is σ = 58632147302400. Its totient is φ = 1922137620480.

The previous prime is 11184354221009. The next prime is 11184354221087. The reversal of 11184354221040 is 4012245348111.

11184354221040 is a `hidden beast` number, since 1 + 1 + 1 + 8 + 4 + 3 + 542 + 2 + 104 + 0 = 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 = 11184354220986 and 11184354221004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 125666901316 + ... + 125666901404.

It is an arithmetic number, because the mean of its divisors is an integer number (10179192240).

Almost surely, 2^{11184354221040} is an apocalyptic number.

11184354221040 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 11184354221040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29316073651200).

11184354221040 is an abundant number, since it is smaller than the sum of its proper divisors (47447793081360).

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

11184354221040 is a wasteful number, since it uses less digits than its factorization.

11184354221040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

Adding to 11184354221040 its reverse (4012245348111), we get a palindrome (15196599569151).

The spelling of 11184354221040 in words is "eleven trillion, one hundred eighty-four billion, three hundred fifty-four million, two hundred twenty-one thousand, forty".