11184087128400 has 240 divisors, whose sum is σ = 39831991125120. Its totient is φ = 2980555776000.

The previous prime is 11184087128399. The next prime is 11184087128419. The reversal of 11184087128400 is 482178048111.

11184087128400 is a `hidden beast` number, since 1 + 1 + 1 + 8 + 40 + 87 + 128 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16967389 + ... + 17614211.

It is an arithmetic number, because the mean of its divisors is an integer number (165966629688).

Almost surely, 2^{11184087128400} is an apocalyptic number.

11184087128400 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 11184087128400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19915995562560).

11184087128400 is an abundant number, since it is smaller than the sum of its proper divisors (28647903996720).

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

11184087128400 is a wasteful number, since it uses less digits than its factorization.

11184087128400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648451 (or 648434 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 45.

The spelling of 11184087128400 in words is "eleven trillion, one hundred eighty-four billion, eighty-seven million, one hundred twenty-eight thousand, four hundred".