11728735200 has 1512 divisors, whose sum is σ = 56251743408. Its totient is φ = 2329067520.

The previous prime is 11728735189. The next prime is 11728735201. The reversal of 11728735200 is 253782711.

11728735200 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 (1512).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11728735201) by changing a digit.

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 251 ways as a sum of consecutive naturals, for example, 689925592 + ... + 689925608.

It is an arithmetic number, because the mean of its divisors is an integer number (37203534).

Almost surely, 2^11728735200 is an apocalyptic number.

11728735200 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 11728735200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28125871704).

11728735200 is an abundant number, since it is smaller than the sum of its proper divisors (44523008208).

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

11728735200 is a wasteful number, since it uses less digits than its factorization.

11728735200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 11728735200 in words is "eleven billion, seven hundred twenty-eight million, seven hundred thirty-five thousand, two hundred".