11875921200 has 1440 divisors, whose sum is σ = 54401518080. Its totient is φ = 2351923200.

The previous prime is 11875921193. The next prime is 11875921247. The reversal of 11875921200 is 212957811.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 201286771 + ... + 201286829.

It is an arithmetic number, because the mean of its divisors is an integer number (37778832).

Almost surely, 2^11875921200 is an apocalyptic number.

11875921200 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 11875921200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27200759040).

11875921200 is an abundant number, since it is smaller than the sum of its proper divisors (42525596880).

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

11875921200 is a wasteful number, since it uses less digits than its factorization.

11875921200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The spelling of 11875921200 in words is "eleven billion, eight hundred seventy-five million, nine hundred twenty-one thousand, two hundred".