5865874560 has 1152 divisors, whose sum is σ = 27159874560. Its totient is φ = 1134673920.

The previous prime is 5865874559. The next prime is 5865874613. The reversal of 5865874560 is 654785685.

5865874560 is a `hidden beast` number, since 5 + 8 + 6 + 5 + 8 + 74 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a junction number, because it is equal to n+sod(n) for n = 5865874497 and 5865874506.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 189221745 + ... + 189221775.

It is an arithmetic number, because the mean of its divisors is an integer number (23576280).

Almost surely, 2^5865874560 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 5865874560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13579937280).

5865874560 is an abundant number, since it is smaller than the sum of its proper divisors (21294000000).

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

5865874560 is a wasteful number, since it uses less digits than its factorization.

5865874560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The square root of 5865874560 is about 76588.9976432647. The cubic root of 5865874560 is about 1803.4783112358.

The spelling of 5865874560 in words is "five billion, eight hundred sixty-five million, eight hundred seventy-four thousand, five hundred sixty".