11928268800 has 702 divisors, whose sum is σ = 49989935112. Its totient is φ = 2663055360.

The previous prime is 11928268789. The next prime is 11928268801. The reversal of 11928268800 is 886282911.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11928268801) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 277401579 + ... + 277401621.

Almost surely, 2^11928268800 is an apocalyptic number.

11928268800 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 11928268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24994967556).

11928268800 is an abundant number, since it is smaller than the sum of its proper divisors (38061666312).

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

11928268800 is an equidigital number, since it uses as much as digits as its factorization.

11928268800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 11928268800 in words is "eleven billion, nine hundred twenty-eight million, two hundred sixty-eight thousand, eight hundred".