5047460407200 has 288 divisors, whose sum is σ = 16556193460800. Its totient is φ = 1335618846720.

The previous prime is 5047460407169. The next prime is 5047460407207. The reversal of 5047460407200 is 27040647405.

It is not an unprimeable number, because it can be changed into a prime (5047460407207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1265342806 + ... + 1265346794.

It is an arithmetic number, because the mean of its divisors is an integer number (57486782850).

Almost surely, 2^{5047460407200} is an apocalyptic number.

5047460407200 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 5047460407200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8278096730400).

5047460407200 is an abundant number, since it is smaller than the sum of its proper divisors (11508733053600).

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

5047460407200 is a wasteful number, since it uses less digits than its factorization.

5047460407200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7944 (or 7931 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 39.

The spelling of 5047460407200 in words is "five trillion, forty-seven billion, four hundred sixty million, four hundred seven thousand, two hundred".