11133725184000 has 2496 divisors, whose sum is σ = 45801933166080. Its totient is φ = 2662701465600.

The previous prime is 11133725183993. The next prime is 11133725184013. The reversal of 11133725184000 is 48152733111.

11133725184000 is a `hidden beast` number, since 1 + 1 + 1 + 33 + 72 + 518 + 40 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 114780671952 + ... + 114780672048.

It is an arithmetic number, because the mean of its divisors is an integer number (18350133480).

Almost surely, 2^{11133725184000} is an apocalyptic number.

11133725184000 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 11133725184000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22900966583040).

11133725184000 is an abundant number, since it is smaller than the sum of its proper divisors (34668207982080).

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

11133725184000 is an equidigital number, since it uses as much as digits as its factorization.

11133725184000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 11133725184000 in words is "eleven trillion, one hundred thirty-three billion, seven hundred twenty-five million, one hundred eighty-four thousand".