5120593920 has 312 divisors, whose sum is σ = 19123494936. Its totient is φ = 1259864064.

The previous prime is 5120593909. The next prime is 5120593927. The reversal of 5120593920 is 293950215.

It is a happy number.

5120593920 is a `hidden beast` number, since 512 + 0 + 59 + 3 + 92 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 128323584 + 4992270336 = 11328^2 + 70656^2 .

It is a tau number, because it is divible by the number of its divisors (312).

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

It is not an unprimeable number, because it can be changed into a prime (5120593927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2395092 + ... + 2397228.

It is an arithmetic number, because the mean of its divisors is an integer number (61293253).

Almost surely, 2^5120593920 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 5120593920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9561747468).

5120593920 is an abundant number, since it is smaller than the sum of its proper divisors (14002901016).

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

5120593920 is a wasteful number, since it uses less digits than its factorization.

5120593920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2185 (or 2160 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 5120593920 is about 71558.3253018124. The cubic root of 5120593920 is about 1723.6143932952.

The spelling of 5120593920 in words is "five billion, one hundred twenty million, five hundred ninety-three thousand, nine hundred twenty".