11305350005200 has 120 divisors (see below), whose sum is σ = 27833838439968. Its totient is φ = 4410445079040.

The previous prime is 11305350005177. The next prime is 11305350005203. The reversal of 11305350005200 is 250005350311.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11305350005203) 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 23 ways as a sum of consecutive naturals, for example, 11158959 + ... + 12129841.

Almost surely, 2^{11305350005200} is an apocalyptic number.

11305350005200 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 11305350005200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13916919219984).

11305350005200 is an abundant number, since it is smaller than the sum of its proper divisors (16528488434768).

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

11305350005200 is a wasteful number, since it uses less digits than its factorization.

11305350005200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971621 (or 971610 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 25.

Adding to 11305350005200 its reverse (250005350311), we get a palindrome (11555355355511).

The spelling of 11305350005200 in words is "eleven trillion, three hundred five billion, three hundred fifty million, five thousand, two hundred".