11552150041200 has 180 divisors, whose sum is σ = 40094226652480. Its totient is φ = 3080184744960.

The previous prime is 11552150041177. The next prime is 11552150041207. The reversal of 11552150041200 is 214005125511.

It is a happy number.

11552150041200 is a `hidden beast` number, since 1 + 1 + 552 + 1 + 50 + 0 + 41 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11552150041207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 28922049 + ... + 29318751.

Almost surely, 2^{11552150041200} is an apocalyptic number.

11552150041200 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 11552150041200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20047113326240).

11552150041200 is an abundant number, since it is smaller than the sum of its proper divisors (28542076611280).

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

11552150041200 is a wasteful number, since it uses less digits than its factorization.

11552150041200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404816 (or 404802 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 27.

Adding to 11552150041200 its reverse (214005125511), we get a palindrome (11766155166711).

The spelling of 11552150041200 in words is "eleven trillion, five hundred fifty-two billion, one hundred fifty million, forty-one thousand, two hundred".