11541207200 has 72 divisors (see below), whose sum is σ = 28774533312. Its totient is φ = 4518245120.

The previous prime is 11541207173. The next prime is 11541207211. The reversal of 11541207200 is 270214511.

11541207200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 115874 + ... + 191073.

It is an arithmetic number, because the mean of its divisors is an integer number (399646296).

Almost surely, 2^11541207200 is an apocalyptic number.

11541207200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11541207200 is an abundant number, since it is smaller than the sum of its proper divisors (17233326112).

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

11541207200 is a wasteful number, since it uses less digits than its factorization.

11541207200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307014 (or 307001 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 23.

The spelling of 11541207200 in words is "eleven billion, five hundred forty-one million, two hundred seven thousand, two hundred".