5872584960 has 432 divisors, whose sum is σ = 22407211008. Its totient is φ = 1419939840.

The previous prime is 5872584931. The next prime is 5872584967. The reversal of 5872584960 is 694852785.

5872584960 is a `hidden beast` number, since 58 + 7 + 2 + 584 + 9 + 6 + 0 = 666.

It is a super-2 number, since 2×5872584960² = 68974508224836403200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5872584897 and 5872584906.

It is not an unprimeable number, because it can be changed into a prime (5872584967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15332929 + ... + 15333311.

It is an arithmetic number, because the mean of its divisors is an integer number (51868544).

Almost surely, 2^5872584960 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 5872584960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11203605504).

5872584960 is an abundant number, since it is smaller than the sum of its proper divisors (16534626048).

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

5872584960 is a wasteful number, since it uses less digits than its factorization.

5872584960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The square root of 5872584960 is about 76632.7929805511. The cubic root of 5872584960 is about 1804.1657591096.

The spelling of 5872584960 in words is "five billion, eight hundred seventy-two million, five hundred eighty-four thousand, nine hundred sixty".