11581867200 has 336 divisors, whose sum is σ = 38864048256. Its totient is φ = 3019161600.

The previous prime is 11581867159. The next prime is 11581867211. The reversal of 11581867200 is 276818511.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 71054319 + ... + 71054481.

Almost surely, 2^11581867200 is an apocalyptic number.

11581867200 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 11581867200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19432024128).

11581867200 is an abundant number, since it is smaller than the sum of its proper divisors (27282181056).

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

11581867200 is a wasteful number, since it uses less digits than its factorization.

11581867200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 39.

The spelling of 11581867200 in words is "eleven billion, five hundred eighty-one million, eight hundred sixty-seven thousand, two hundred".