5871586400 has 144 divisors (see below), whose sum is σ = 14646562560. Its totient is φ = 2297971200.

The previous prime is 5871586387. The next prime is 5871586421. The reversal of 5871586400 is 46851785.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 9485291 + ... + 9485909.

It is an arithmetic number, because the mean of its divisors is an integer number (101712240).

Almost surely, 2^5871586400 is an apocalyptic number.

5871586400 is a gapful number since it is divisible by the number (50) 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 5871586400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7323281280).

5871586400 is an abundant number, since it is smaller than the sum of its proper divisors (8774976160).

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

5871586400 is a wasteful number, since it uses less digits than its factorization.

5871586400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 44.

The square root of 5871586400 is about 76626.2774771162. The cubic root of 5871586400 is about 1804.0634946670.

The spelling of 5871586400 in words is "five billion, eight hundred seventy-one million, five hundred eighty-six thousand, four hundred".