5958904320 has 560 divisors, whose sum is σ = 22326999552. Its totient is φ = 1522851840.

The previous prime is 5958904297. The next prime is 5958904327. The reversal of 5958904320 is 234098595.

5958904320 is a `hidden beast` number, since 5 + 9 + 589 + 0 + 43 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5958904327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 57853389 + ... + 57853491.

Almost surely, 2^5958904320 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 5958904320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11163499776).

5958904320 is an abundant number, since it is smaller than the sum of its proper divisors (16368095232).

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

5958904320 is an equidigital number, since it uses as much as digits as its factorization.

5958904320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 5958904320 is about 77193.9396584991. The cubic root of 5958904320 is about 1812.9624289452.

The spelling of 5958904320 in words is "five billion, nine hundred fifty-eight million, nine hundred four thousand, three hundred twenty".