5889516864 has 224 divisors, whose sum is σ = 19582497792. Its totient is φ = 1517568000.

The previous prime is 5889516863. The next prime is 5889516869. The reversal of 5889516864 is 4686159885.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 5889516798 and 5889516807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5889516863) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1935184 + ... + 1938224.

Almost surely, 2^5889516864 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 5889516864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9791248896).

5889516864 is an abundant number, since it is smaller than the sum of its proper divisors (13692980928).

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

5889516864 is a wasteful number, since it uses less digits than its factorization.

5889516864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3205 (or 3195 counting only the distinct ones).

The product of its digits is 16588800, while the sum is 60.

The square root of 5889516864 is about 76743.1877367627. The cubic root of 5889516864 is about 1805.8980257822.

It can be divided in two parts, 5889 and 516864, that added together give a triangular number (522753 = T₁₀₂₂).

The spelling of 5889516864 in words is "five billion, eight hundred eighty-nine million, five hundred sixteen thousand, eight hundred sixty-four".