11985848216320 has 288 divisors, whose sum is σ = 31825509730560. Its totient is φ = 4288277790720.

The previous prime is 11985848216257. The next prime is 11985848216323. The reversal of 11985848216320 is 2361284858911.

It is a super-2 number, since 2×11985848216320² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11985848216323) 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, 832979686 + ... + 832994074.

It is an arithmetic number, because the mean of its divisors is an integer number (110505242120).

Almost surely, 2^{11985848216320} is an apocalyptic number.

11985848216320 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 11985848216320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15912754865280).

11985848216320 is an abundant number, since it is smaller than the sum of its proper divisors (19839661514240).

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

11985848216320 is a wasteful number, since it uses less digits than its factorization.

11985848216320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15371 (or 15357 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 58.

The spelling of 11985848216320 in words is "eleven trillion, nine hundred eighty-five billion, eight hundred forty-eight million, two hundred sixteen thousand, three hundred twenty".