11100033638652 has 288 divisors, whose sum is σ = 31663655944704. Its totient is φ = 3014894131200.

The previous prime is 11100033638651. The next prime is 11100033638711. The reversal of 11100033638652 is 25683633000111.

It is a self number, because there is not a number n which added to its sum of digits gives 11100033638652.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11100033638651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 146032377 + ... + 146108367.

It is an arithmetic number, because the mean of its divisors is an integer number (109943249808).

Almost surely, 2^{11100033638652} is an apocalyptic number.

11100033638652 is a gapful number since it is divisible by the number (12) 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 11100033638652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15831827972352).

11100033638652 is an abundant number, since it is smaller than the sum of its proper divisors (20563622306052).

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

11100033638652 is a wasteful number, since it uses less digits than its factorization.

11100033638652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76209 (or 76200 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

Adding to 11100033638652 its reverse (25683633000111), we get a palindrome (36783666638763).

The spelling of 11100033638652 in words is "eleven trillion, one hundred billion, thirty-three million, six hundred thirty-eight thousand, six hundred fifty-two".