11809256448000 has 1792 divisors, whose sum is σ = 46274332396032. Its totient is φ = 2642411520000.

The previous prime is 11809256447981. The next prime is 11809256448001. The reversal of 11809256448000 is 84465290811.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (11809256448001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 35042303832 + ... + 35042304168.

Almost surely, 2^{11809256448000} is an apocalyptic number.

11809256448000 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 11809256448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23137166198016).

11809256448000 is an abundant number, since it is smaller than the sum of its proper divisors (34465075948032).

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

11809256448000 is a wasteful number, since it uses less digits than its factorization.

11809256448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The spelling of 11809256448000 in words is "eleven trillion, eight hundred nine billion, two hundred fifty-six million, four hundred forty-eight thousand".