5786871313600 has 672 divisors, whose sum is σ = 16551723746880. Its totient is φ = 1973324021760.

The previous prime is 5786871313591. The next prime is 5786871313603. The reversal of 5786871313600 is 63131786875.

It is not an unprimeable number, because it can be changed into a prime (5786871313603) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3623588002 + ... + 3623589598.

It is an arithmetic number, because the mean of its divisors is an integer number (24630541290).

Almost surely, 2^{5786871313600} is an apocalyptic number.

5786871313600 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 5786871313600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8275861873440).

5786871313600 is an abundant number, since it is smaller than the sum of its proper divisors (10764852433280).

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

5786871313600 is a wasteful number, since it uses less digits than its factorization.

5786871313600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1877 (or 1862 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 55.

The spelling of 5786871313600 in words is "five trillion, seven hundred eighty-six billion, eight hundred seventy-one million, three hundred thirteen thousand, six hundred".