5859209664 has 672 divisors, whose sum is σ = 23394009600. Its totient is φ = 1353646080.

The previous prime is 5859209599. The next prime is 5859209687. The reversal of 5859209664 is 4669029585.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a self number, because there is not a number n which added to its sum of digits gives 5859209664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14325492 + ... + 14325900.

Almost surely, 2^5859209664 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 5859209664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11697004800).

5859209664 is an abundant number, since it is smaller than the sum of its proper divisors (17534799936).

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

5859209664 is a wasteful number, since it uses less digits than its factorization.

5859209664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The square root of 5859209664 is about 76545.4744841261. The cubic root of 5859209664 is about 1802.7950058697.

The spelling of 5859209664 in words is "five billion, eight hundred fifty-nine million, two hundred nine thousand, six hundred sixty-four".