2385516800000 has 288 divisors, whose sum is σ = 6168018893400. Its totient is φ = 921231360000.

The previous prime is 2385516799901. The next prime is 2385516800003. The reversal of 2385516800000 is 86155832.

It can be written as a sum of positive squares in 12 ways, for example, as 1392097936384 + 993418863616 = 1179872^2 + 996704^2 .

It is not an unprimeable number, because it can be changed into a prime (2385516800003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 185593574 + ... + 185606426.

Almost surely, 2^{2385516800000} is an apocalyptic number.

2385516800000 is a gapful number since it is divisible by the number (20) 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 2385516800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3084009446700).

2385516800000 is an abundant number, since it is smaller than the sum of its proper divisors (3782502093400).

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

2385516800000 is an frugal number, since it uses more digits than its factorization.

2385516800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12929 (or 12889 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 38.

The spelling of 2385516800000 in words is "two trillion, three hundred eighty-five billion, five hundred sixteen million, eight hundred thousand".