11034021600 has 864 divisors, whose sum is σ = 46896123456. Its totient is φ = 2388787200.

The previous prime is 11034021589. The next prime is 11034021653. The reversal of 11034021600 is 612043011.

It is a happy number.

11034021600 is a `hidden beast` number, since 1 + 1 + 0 + 3 + 40 + 21 + 600 = 666.

11034021600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 113752752 + ... + 113752848.

Almost surely, 2^11034021600 is an apocalyptic number.

11034021600 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 11034021600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23448061728).

11034021600 is an abundant number, since it is smaller than the sum of its proper divisors (35862101856).

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

11034021600 is a wasteful number, since it uses less digits than its factorization.

11034021600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11034021600 its reverse (612043011), we get a palindrome (11646064611).

The spelling of 11034021600 in words is "eleven billion, thirty-four million, twenty-one thousand, six hundred".