5864517120 has 640 divisors, whose sum is σ = 23984750592. Its totient is φ = 1187020800.

The previous prime is 5864517091. The next prime is 5864517137. The reversal of 5864517120 is 217154685.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×5864517120² = 68785122101546188800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27793815 + ... + 27794025.

Almost surely, 2^5864517120 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 5864517120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11992375296).

5864517120 is an abundant number, since it is smaller than the sum of its proper divisors (18120233472).

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

5864517120 is a wasteful number, since it uses less digits than its factorization.

5864517120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 39.

The square root of 5864517120 is about 76580.1352832443. The cubic root of 5864517120 is about 1803.3391843566.

The spelling of 5864517120 in words is "five billion, eight hundred sixty-four million, five hundred seventeen thousand, one hundred twenty".