5871204864 has 640 divisors, whose sum is σ = 21778606080. Its totient is φ = 1523515392.

The previous prime is 5871204863. The next prime is 5871204869. The reversal of 5871204864 is 4684021785.

5871204864 is a `hidden beast` number, since 587 + 1 + 2 + 0 + 4 + 8 + 64 = 666.

It is not an unprimeable number, because it can be changed into a prime (5871204863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 70737367 + ... + 70737449.

It is an arithmetic number, because the mean of its divisors is an integer number (34029072).

Almost surely, 2^5871204864 is an apocalyptic number.

5871204864 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 5871204864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10889303040).

5871204864 is an abundant number, since it is smaller than the sum of its proper divisors (15907401216).

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

5871204864 is a wasteful number, since it uses less digits than its factorization.

5871204864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 5871204864 is about 76623.7878468560. The cubic root of 5871204864 is about 1804.0244177730.

The spelling of 5871204864 in words is "five billion, eight hundred seventy-one million, two hundred four thousand, eight hundred sixty-four".