5301172800 has 756 divisors, whose sum is σ = 23945337936. Its totient is φ = 1099929600.

The previous prime is 5301172783. The next prime is 5301172823. The reversal of 5301172800 is 82711035.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 7761259 + ... + 7761941.

Almost surely, 2^5301172800 is an apocalyptic number.

5301172800 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 5301172800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11972668968).

5301172800 is an abundant number, since it is smaller than the sum of its proper divisors (18644165136).

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

5301172800 is a wasteful number, since it uses less digits than its factorization.

5301172800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 5301172800 is about 72809.1532707255. The cubic root of 5301172800 is about 1743.6419950833.

Adding to 5301172800 its reverse (82711035), we get a palindrome (5383883835).

The spelling of 5301172800 in words is "five billion, three hundred one million, one hundred seventy-two thousand, eight hundred".