11353530250000 has 315 divisors, whose sum is σ = 28842393488419. Its totient is φ = 4329133600000.

The previous prime is 11353530249907. The next prime is 11353530250009. The reversal of 11353530250000 is 5203535311.

The square root of 11353530250000 is 3369500.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 10 ways, for example, as 11175675744016 + 177854505984 = 3343004^2 + 421728^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11353530250009) 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 62 ways as a sum of consecutive naturals, for example, 38749249854 + ... + 38749250146.

Almost surely, 2^{11353530250000} is an apocalyptic number.

11353530250000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11353530250000 is the 3369500-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11353530250000

11353530250000 is an abundant number, since it is smaller than the sum of its proper divisors (17488863238419).

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

11353530250000 is an frugal number, since it uses more digits than its factorization.

11353530250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 28.

Adding to 11353530250000 its reverse (5203535311), we get a palindrome (11358733785311).

The spelling of 11353530250000 in words is "eleven trillion, three hundred fifty-three billion, five hundred thirty million, two hundred fifty thousand".