11233352502400 has 192 divisors, whose sum is σ = 31735413000000. Its totient is φ = 3848854302720.

The previous prime is 11233352502373. The next prime is 11233352502439. The reversal of 11233352502400 is 420525333211.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33410326 + ... + 33744874.

It is an arithmetic number, because the mean of its divisors is an integer number (165288609375).

Almost surely, 2^{11233352502400} is an apocalyptic number.

11233352502400 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 11233352502400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15867706500000).

11233352502400 is an abundant number, since it is smaller than the sum of its proper divisors (20502060497600).

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

11233352502400 is a wasteful number, since it uses less digits than its factorization.

11233352502400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336079 (or 336062 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

Adding to 11233352502400 its reverse (420525333211), we get a palindrome (11653877835611).

The spelling of 11233352502400 in words is "eleven trillion, two hundred thirty-three billion, three hundred fifty-two million, five hundred two thousand, four hundred".