11839527200 has 54 divisors (see below), whose sum is σ = 28910760921. Its totient is φ = 4734579840.

The previous prime is 11839527197. The next prime is 11839527233. The reversal of 11839527200 is 272593811.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 11602736656 + 236790544 = 107716^2 + 15388^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=76940.

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 3075677 + ... + 3079523.

Almost surely, 2^11839527200 is an apocalyptic number.

11839527200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11839527200 is an abundant number, since it is smaller than the sum of its proper divisors (17071233721).

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

11839527200 is an frugal number, since it uses more digits than its factorization.

11839527200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7714 (or 3854 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 38.

The spelling of 11839527200 in words is "eleven billion, eight hundred thirty-nine million, five hundred twenty-seven thousand, two hundred".