5310663120 has 360 divisors, whose sum is σ = 20952308520. Its totient is φ = 1201858560.

The previous prime is 5310663109. The next prime is 5310663161. The reversal of 5310663120 is 213660135.

5310663120 is a `hidden beast` number, since 5 + 3 + 1 + 0 + 6 + 631 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 806105664 + 4504557456 = 28392^2 + 67116^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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, 3844830 + ... + 3846210.

It is an arithmetic number, because the mean of its divisors is an integer number (58200857).

Almost surely, 2^5310663120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5310663120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10476154260).

5310663120 is an abundant number, since it is smaller than the sum of its proper divisors (15641645400).

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

5310663120 is a wasteful number, since it uses less digits than its factorization.

5310663120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1523 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 5310663120 is about 72874.2967032959. The cubic root of 5310663120 is about 1744.6818816763.

The spelling of 5310663120 in words is "five billion, three hundred ten million, six hundred sixty-three thousand, one hundred twenty".