5871325824 has 640 divisors, whose sum is σ = 22116864000. Its totient is φ = 1536288768.

The previous prime is 5871325813. The next prime is 5871325883. The reversal of 5871325824 is 4285231785.

5871325824 is a `hidden beast` number, since 58 + 7 + 13 + 2 + 582 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5871325824.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 46230849 + ... + 46230975.

It is an arithmetic number, because the mean of its divisors is an integer number (34557600).

Almost surely, 2^5871325824 is an apocalyptic number.

5871325824 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5871325824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11058432000).

5871325824 is an abundant number, since it is smaller than the sum of its proper divisors (16245538176).

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

5871325824 is a wasteful number, since it uses less digits than its factorization.

5871325824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 152 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The square root of 5871325824 is about 76624.5771538088. The cubic root of 5871325824 is about 1804.0368066721.

The spelling of 5871325824 in words is "five billion, eight hundred seventy-one million, three hundred twenty-five thousand, eight hundred twenty-four".