11521375744000 has 416 divisors, whose sum is σ = 29738320088256. Its totient is φ = 4453407129600.

The previous prime is 11521375743973. The next prime is 11521375744009. The reversal of 11521375744000 is 44757312511.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (11521375744009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1818108832 + ... + 1818115168.

It is an arithmetic number, because the mean of its divisors is an integer number (71486346366).

Almost surely, 2^{11521375744000} is an apocalyptic number.

11521375744000 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 11521375744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14869160044128).

11521375744000 is an abundant number, since it is smaller than the sum of its proper divisors (18216944344256).

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

11521375744000 is an frugal number, since it uses more digits than its factorization.

11521375744000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6496 (or 6464 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 40.

The spelling of 11521375744000 in words is "eleven trillion, five hundred twenty-one billion, three hundred seventy-five million, seven hundred forty-four thousand".