11556248200 has 144 divisors (see below), whose sum is σ = 32264006400. Its totient is φ = 3834230400.

The previous prime is 11556248173. The next prime is 11556248213. The reversal of 11556248200 is 284265511.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 284781 + ... + 322819.

It is an arithmetic number, because the mean of its divisors is an integer number (224055600).

Almost surely, 2^11556248200 is an apocalyptic number.

11556248200 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 11556248200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16132003200).

11556248200 is an abundant number, since it is smaller than the sum of its proper divisors (20707758200).

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

11556248200 is a wasteful number, since it uses less digits than its factorization.

11556248200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38100 (or 38084 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 34.

The spelling of 11556248200 in words is "eleven billion, five hundred fifty-six million, two hundred forty-eight thousand, two hundred".