5800596480 has 528 divisors, whose sum is σ = 23502835200. Its totient is φ = 1322237952.

The previous prime is 5800596479. The next prime is 5800596497. The reversal of 5800596480 is 846950085.

5800596480 is a `hidden beast` number, since 5 + 80 + 0 + 5 + 96 + 480 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 15805257 + ... + 15805623.

Almost surely, 2^5800596480 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 5800596480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11751417600).

5800596480 is an abundant number, since it is smaller than the sum of its proper divisors (17702238720).

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

5800596480 is a wasteful number, since it uses less digits than its factorization.

5800596480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 5800596480 is about 76161.6470410140. The cubic root of 5800596480 is about 1796.7633687948.

The spelling of 5800596480 in words is "five billion, eight hundred million, five hundred ninety-six thousand, four hundred eighty".