5978530080 has 384 divisors, whose sum is σ = 22365020160. Its totient is φ = 1486356480.

The previous prime is 5978530073. The next prime is 5978530081. The reversal of 5978530080 is 800358795.

5978530080 is a `hidden beast` number, since 597 + 8 + 53 + 0 + 0 + 8 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5978530081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9326560 + ... + 9327200.

It is an arithmetic number, because the mean of its divisors is an integer number (58242240).

Almost surely, 2^5978530080 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 5978530080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11182510080).

5978530080 is an abundant number, since it is smaller than the sum of its proper divisors (16386490080).

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

5978530080 is a wasteful number, since it uses less digits than its factorization.

5978530080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 5978530080 is about 77320.9549863425. The cubic root of 5978530080 is about 1814.9505894615.

The spelling of 5978530080 in words is "five billion, nine hundred seventy-eight million, five hundred thirty thousand, eighty".