5315212800 has 720 divisors, whose sum is σ = 20679413040. Its totient is φ = 1300561920.

The previous prime is 5315212739. The next prime is 5315212811. The reversal of 5315212800 is 82125135.

It is a happy number.

5315212800 is a `hidden beast` number, since 531 + 5 + 2 + 128 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 123609579 + ... + 123609621.

It is an arithmetic number, because the mean of its divisors is an integer number (28721407).

Almost surely, 2^5315212800 is an apocalyptic number.

5315212800 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 5315212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10339706520).

5315212800 is an abundant number, since it is smaller than the sum of its proper divisors (15364200240).

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

5315212800 is a wasteful number, since it uses less digits than its factorization.

5315212800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 5315212800 is about 72905.5059649132. The cubic root of 5315212800 is about 1745.1799662776.

Adding to 5315212800 its reverse (82125135), we get a palindrome (5397337935).

The spelling of 5315212800 in words is "five billion, three hundred fifteen million, two hundred twelve thousand, eight hundred".