5315284800 has 1008 divisors, whose sum is σ = 23553968640. Its totient is φ = 1175731200.

The previous prime is 5315284781. The next prime is 5315284841. The reversal of 5315284800 is 84825135.

It is a happy number.

5315284800 is a `hidden beast` number, since 53 + 1 + 528 + 4 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×5315284800² = 56504505010222080000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 171460785 + ... + 171460815.

Almost surely, 2^5315284800 is an apocalyptic number.

5315284800 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 5315284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11776984320).

5315284800 is an abundant number, since it is smaller than the sum of its proper divisors (18238683840).

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

5315284800 is an equidigital number, since it uses as much as digits as its factorization.

5315284800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 5315284800 is about 72905.9997531067. Note that the first 3 decimals coincide. The cubic root of 5315284800 is about 1745.1878463253.

Adding to 5315284800 its sum of digits (36), we get a square (5315284836 = 72906²).

The spelling of 5315284800 in words is "five billion, three hundred fifteen million, two hundred eighty-four thousand, eight hundred".