5986759680 has 704 divisors, whose sum is σ = 24147394560. Its totient is φ = 1393459200.

The previous prime is 5986759679. The next prime is 5986759693. The reversal of 5986759680 is 869576895.

It is a tau number, because it is divible by the number of its divisors (704).

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 63 ways as a sum of consecutive naturals, for example, 47139777 + ... + 47139903.

Almost surely, 2^5986759680 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 5986759680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12073697280).

5986759680 is an abundant number, since it is smaller than the sum of its proper divisors (18160634880).

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

5986759680 is a wasteful number, since it uses less digits than its factorization.

5986759680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The square root of 5986759680 is about 77374.1538241292. The cubic root of 5986759680 is about 1815.7829829874.

The spelling of 5986759680 in words is "five billion, nine hundred eighty-six million, seven hundred fifty-nine thousand, six hundred eighty".