11055413957184 has 196 divisors, whose sum is σ = 32897201453116. Its totient is φ = 3684564661248.

The previous prime is 11055413957153. The next prime is 11055413957191. The reversal of 11055413957184 is 48175931455011.

11055413957184 is a `hidden beast` number, since 1 + 1 + 0 + 5 + 54 + 13 + 9 + 571 + 8 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 752854699584 + 10302559257600 = 867672^2 + 3209760^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 11055413957184.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 386903922 + ... + 386932494.

Almost surely, 2^{11055413957184} 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 11055413957184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16448600726558).

11055413957184 is an abundant number, since it is smaller than the sum of its proper divisors (21841787495932).

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

11055413957184 is an frugal number, since it uses more digits than its factorization.

11055413957184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36896 (or 36871 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 54.

The spelling of 11055413957184 in words is "eleven trillion, fifty-five billion, four hundred thirteen million, nine hundred fifty-seven thousand, one hundred eighty-four".