11410552800 has 216 divisors, whose sum is σ = 40919959080. Its totient is φ = 2991129600.

The previous prime is 11410552789. The next prime is 11410552873. The reversal of 11410552800 is 825501411.

11410552800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 35 ways as a sum of consecutive naturals, for example, 411370 + ... + 438230.

It is an arithmetic number, because the mean of its divisors is an integer number (189444255).

Almost surely, 2^11410552800 is an apocalyptic number.

11410552800 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 11410552800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20459979540).

11410552800 is an abundant number, since it is smaller than the sum of its proper divisors (29509406280).

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

11410552800 is a wasteful number, since it uses less digits than its factorization.

11410552800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26946 (or 26930 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The spelling of 11410552800 in words is "eleven billion, four hundred ten million, five hundred fifty-two thousand, eight hundred".