11581873867200 has 2016 divisors, whose sum is σ = 50812516957440. Its totient is φ = 2282486169600.

The previous prime is 11581873867183. The next prime is 11581873867243. The reversal of 11581873867200 is 276837818511.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

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 287 ways as a sum of consecutive naturals, for example, 4240889835 + ... + 4240892565.

Almost surely, 2^{11581873867200} is an apocalyptic number.

11581873867200 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 11581873867200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25406258478720).

11581873867200 is an abundant number, since it is smaller than the sum of its proper divisors (39230643090240).

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

11581873867200 is a wasteful number, since it uses less digits than its factorization.

11581873867200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2875 (or 2853 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 57.

The spelling of 11581873867200 in words is "eleven trillion, five hundred eighty-one billion, eight hundred seventy-three million, eight hundred sixty-seven thousand, two hundred".