5930887680 has 240 divisors, whose sum is σ = 20893260960. Its totient is φ = 1554407424.

The previous prime is 5930887679. The next prime is 5930887693. The reversal of 5930887680 is 867880395.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1357179 + ... + 1361541.

It is an arithmetic number, because the mean of its divisors is an integer number (87055254).

Almost surely, 2^5930887680 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 5930887680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10446630480).

5930887680 is an abundant number, since it is smaller than the sum of its proper divisors (14962373280).

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

5930887680 is a wasteful number, since it uses less digits than its factorization.

5930887680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4451 (or 4432 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 5930887680 is about 77012.2566868417. The cubic root of 5930887680 is about 1810.1166637255.

The spelling of 5930887680 in words is "five billion, nine hundred thirty million, eight hundred eighty-seven thousand, six hundred eighty".