11809043136000 has 3200 divisors, whose sum is σ = 51247587980160. Its totient is φ = 2675441664000.

The previous prime is 11809043135993. The next prime is 11809043136013. The reversal of 11809043136000 is 63134090811.

11809043136000 is a `hidden beast` number, since 1 + 1 + 8 + 0 + 9 + 0 + 43 + 1 + 3 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3200).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 61186751904 + ... + 61186752096.

Almost surely, 2^{11809043136000} is an apocalyptic number.

11809043136000 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 11809043136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25623793990080).

11809043136000 is an abundant number, since it is smaller than the sum of its proper divisors (39438544844160).

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

11809043136000 is a wasteful number, since it uses less digits than its factorization.

11809043136000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 11809043136000 in words is "eleven trillion, eight hundred nine billion, forty-three million, one hundred thirty-six thousand".