11064211200 has 540 divisors, whose sum is σ = 46768968400. Its totient is φ = 2528133120.

The previous prime is 11064211183. The next prime is 11064211211. The reversal of 11064211200 is 211246011.

11064211200 is a `hidden beast` number, since 1 + 1 + 0 + 642 + 1 + 1 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a super-3 number, since 3×11064211200³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3627276 + ... + 3630324.

Almost surely, 2^11064211200 is an apocalyptic number.

11064211200 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 11064211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23384484200).

11064211200 is an abundant number, since it is smaller than the sum of its proper divisors (35704757200).

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

11064211200 is an equidigital number, since it uses as much as digits as its factorization.

11064211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3094 (or 3066 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11064211200 its reverse (211246011), we get a palindrome (11275457211).

The spelling of 11064211200 in words is "eleven billion, sixty-four million, two hundred eleven thousand, two hundred".