5323305120 has 480 divisors, whose sum is σ = 20328537600. Its totient is φ = 1169602560.

The previous prime is 5323305109. The next prime is 5323305157. The reversal of 5323305120 is 215033235.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×5323305120³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 35726806 + ... + 35726954.

It is an arithmetic number, because the mean of its divisors is an integer number (42351120).

Almost surely, 2^5323305120 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 5323305120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10164268800).

5323305120 is an abundant number, since it is smaller than the sum of its proper divisors (15005232480).

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

5323305120 is a wasteful number, since it uses less digits than its factorization.

5323305120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 24.

The square root of 5323305120 is about 72960.9835460022. The cubic root of 5323305120 is about 1746.0651860055.

Adding to 5323305120 its reverse (215033235), we get a palindrome (5538338355).

The spelling of 5323305120 in words is "five billion, three hundred twenty-three million, three hundred five thousand, one hundred twenty".