11215873200 has 240 divisors, whose sum is σ = 41935887360. Its totient is φ = 2508994560.

The previous prime is 11215873181. The next prime is 11215873237. The reversal of 11215873200 is 237851211.

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 (30).

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, 380596 + ... + 409004.

It is an arithmetic number, because the mean of its divisors is an integer number (174732864).

Almost surely, 2^11215873200 is an apocalyptic number.

11215873200 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 11215873200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20967943680).

11215873200 is an abundant number, since it is smaller than the sum of its proper divisors (30720014160).

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

11215873200 is a wasteful number, since it uses less digits than its factorization.

11215873200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28484 (or 28473 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The spelling of 11215873200 in words is "eleven billion, two hundred fifteen million, eight hundred seventy-three thousand, two hundred".