11271934800 has 720 divisors, whose sum is σ = 47282307072. Its totient is φ = 2432332800.

The previous prime is 11271934789. The next prime is 11271934853. The reversal of 11271934800 is 843917211.

It is a happy number.

11271934800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 36716247 + ... + 36716553.

Almost surely, 2^11271934800 is an apocalyptic number.

11271934800 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 11271934800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23641153536).

11271934800 is an abundant number, since it is smaller than the sum of its proper divisors (36010372272).

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

11271934800 is a wasteful number, since it uses less digits than its factorization.

11271934800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 11271934800 in words is "eleven billion, two hundred seventy-one million, nine hundred thirty-four thousand, eight hundred".