11552205450450 has 192 divisors, whose sum is σ = 32931672238080. Its totient is φ = 2625264000000.

The previous prime is 11552205450421. The next prime is 11552205450493. The reversal of 11552205450450 is 5405450225511.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11552205450399 and 11552205450408.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 156601075 + ... + 156674825.

It is an arithmetic number, because the mean of its divisors is an integer number (171519126240).

Almost surely, 2^{11552205450450} is an apocalyptic number.

11552205450450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11552205450450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16465836119040).

11552205450450 is an abundant number, since it is smaller than the sum of its proper divisors (21379466787630).

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

11552205450450 is a wasteful number, since it uses less digits than its factorization.

11552205450450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74633 (or 74628 counting only the distinct ones).

The product of its (nonzero) digits is 200000, while the sum is 39.

Adding to 11552205450450 its reverse (5405450225511), we get a palindrome (16957655675961).

The spelling of 11552205450450 in words is "eleven trillion, five hundred fifty-two billion, two hundred five million, four hundred fifty thousand, four hundred fifty".