11545839312320 has 224 divisors, whose sum is σ = 30157100366400. Its totient is φ = 4193550434304.

The previous prime is 11545839312277. The next prime is 11545839312331. The reversal of 11545839312320 is 2321393854511.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23916854 + ... + 24394826.

It is an arithmetic number, because the mean of its divisors is an integer number (134629912350).

Almost surely, 2^{11545839312320} is an apocalyptic number.

11545839312320 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 11545839312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15078550183200).

11545839312320 is an abundant number, since it is smaller than the sum of its proper divisors (18611261054080).

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

11545839312320 is a wasteful number, since it uses less digits than its factorization.

11545839312320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478175 (or 478165 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 47.

The spelling of 11545839312320 in words is "eleven trillion, five hundred forty-five billion, eight hundred thirty-nine million, three hundred twelve thousand, three hundred twenty".