11052100413200 has 480 divisors, whose sum is σ = 34400358236160. Its totient is φ = 3311049369600.

The previous prime is 11052100413197. The next prime is 11052100413247. The reversal of 11052100413200 is 231400125011.

It is a super-2 number, since 2×11052100413200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 199155857 + ... + 199211343.

It is an arithmetic number, because the mean of its divisors is an integer number (71667412992).

Almost surely, 2^{11052100413200} is an apocalyptic number.

11052100413200 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 11052100413200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17200179118080).

11052100413200 is an abundant number, since it is smaller than the sum of its proper divisors (23348257822960).

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

11052100413200 is a wasteful number, since it uses less digits than its factorization.

11052100413200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55775 (or 55764 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 11052100413200 its reverse (231400125011), we get a palindrome (11283500538211).

The spelling of 11052100413200 in words is "eleven trillion, fifty-two billion, one hundred million, four hundred thirteen thousand, two hundred".