5031422720800 has 1728 divisors, whose sum is σ = 16576939008000. Its totient is φ = 1455370076160.

The previous prime is 5031422720773. The next prime is 5031422720803. The reversal of 5031422720800 is 80272241305.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (5031422720803) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 63688895161 + ... + 63688895239.

It is an arithmetic number, because the mean of its divisors is an integer number (9593136000).

Almost surely, 2^{5031422720800} is an apocalyptic number.

5031422720800 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 5031422720800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8288469504000).

5031422720800 is an abundant number, since it is smaller than the sum of its proper divisors (11545516287200).

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

5031422720800 is a wasteful number, since it uses less digits than its factorization.

5031422720800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The spelling of 5031422720800 in words is "five trillion, thirty-one billion, four hundred twenty-two million, seven hundred twenty thousand, eight hundred".