5105443543200 has 2880 divisors, whose sum is σ = 25814907740160. Its totient is φ = 947303424000.

The previous prime is 5105443543147. The next prime is 5105443543217. The reversal of 5105443543200 is 23453445015.

5105443543200 is a `hidden beast` number, since 5 + 1 + 0 + 5 + 443 + 5 + 4 + 3 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 2010807531 + ... + 2010810069.

It is an arithmetic number, because the mean of its divisors is an integer number (8963509632).

Almost surely, 2^{5105443543200} is an apocalyptic number.

5105443543200 is a gapful number since it is divisible by the number (50) 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 5105443543200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12907453870080).

5105443543200 is an abundant number, since it is smaller than the sum of its proper divisors (20709464196960).

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

5105443543200 is a wasteful number, since it uses less digits than its factorization.

5105443543200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2633 (or 2611 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 5105443543200 its reverse (23453445015), we get a palindrome (5128896988215).

The spelling of 5105443543200 in words is "five trillion, one hundred five billion, four hundred forty-three million, five hundred forty-three thousand, two hundred".