11506233625200 has 360 divisors, whose sum is σ = 40421493680256. Its totient is φ = 3030693120000.

The previous prime is 11506233625181. The next prime is 11506233625217. The reversal of 11506233625200 is 252633260511.

11506233625200 is a `hidden beast` number, since 1 + 1 + 5 + 0 + 6 + 2 + 3 + 3 + 625 + 20 + 0 = 666.

11506233625200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 153038017 + ... + 153113183.

Almost surely, 2^{11506233625200} is an apocalyptic number.

11506233625200 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 11506233625200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20210746840128).

11506233625200 is an abundant number, since it is smaller than the sum of its proper divisors (28915260055056).

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

11506233625200 is a wasteful number, since it uses less digits than its factorization.

11506233625200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75713 (or 75699 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 11506233625200 its reverse (252633260511), we get a palindrome (11758866885711).

The spelling of 11506233625200 in words is "eleven trillion, five hundred six billion, two hundred thirty-three million, six hundred twenty-five thousand, two hundred".