11010020323200 has 192 divisors, whose sum is σ = 36269447170800. Its totient is φ = 2935585013760.

The previous prime is 11010020323187. The next prime is 11010020323201. The reversal of 11010020323200 is 232302001011.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11010020323200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11010020323201) 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, 70087944 + ... + 70244856.

Almost surely, 2^{11010020323200} is an apocalyptic number.

11010020323200 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 11010020323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18134723585400).

11010020323200 is an abundant number, since it is smaller than the sum of its proper divisors (25259426847600).

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

11010020323200 is a wasteful number, since it uses less digits than its factorization.

11010020323200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164249 (or 164232 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 11010020323200 its reverse (232302001011), we get a palindrome (11242322324211).

The spelling of 11010020323200 in words is "eleven trillion, ten billion, twenty million, three hundred twenty-three thousand, two hundred".