11352253440000 has 560 divisors, whose sum is σ = 41265807089760. Its totient is φ = 2752020480000.

The previous prime is 11352253439993. The next prime is 11352253440037. The reversal of 11352253440000 is 4435225311.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 11352253440000.

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 39 ways as a sum of consecutive naturals, for example, 168926406 + ... + 168993594.

Almost surely, 2^{11352253440000} is an apocalyptic number.

11352253440000 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 11352253440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20632903544880).

11352253440000 is an abundant number, since it is smaller than the sum of its proper divisors (29913553649760).

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

11352253440000 is an frugal number, since it uses more digits than its factorization.

11352253440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67249 (or 67210 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 11352253440000 its reverse (4435225311), we get a palindrome (11356688665311).

The spelling of 11352253440000 in words is "eleven trillion, three hundred fifty-two billion, two hundred fifty-three million, four hundred forty thousand".