5359816000 has 504 divisors, whose sum is σ = 17122204008. Its totient is φ = 1655808000.

The previous prime is 5359815997. The next prime is 5359816003. The reversal of 5359816000 is 6189535.

It is an interprime number because it is at equal distance from previous prime (5359815997) and next prime (5359816003).

It can be written as a sum of positive squares in 4 ways, for example, as 1411955776 + 3947860224 = 37576^2 + 62832^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5359816003) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 47431944 + ... + 47432056.

It is an arithmetic number, because the mean of its divisors is an integer number (33972627).

Almost surely, 2^5359816000 is an apocalyptic number.

5359816000 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 5359816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8561102004).

5359816000 is an abundant number, since it is smaller than the sum of its proper divisors (11762388008).

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

5359816000 is a wasteful number, since it uses less digits than its factorization.

5359816000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 37.

The square root of 5359816000 is about 73210.7642358690. The cubic root of 5359816000 is about 1750.0479986835.

The spelling of 5359816000 in words is "five billion, three hundred fifty-nine million, eight hundred sixteen thousand".