5287824016600 has 192 divisors, whose sum is σ = 12578457427200. Its totient is φ = 2066807232000.

The previous prime is 5287824016577. The next prime is 5287824016627. The reversal of 5287824016600 is 66104287825.

It is a super-2 number, since 2×5287824016600² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1363893862 + ... + 1363897738.

It is an arithmetic number, because the mean of its divisors is an integer number (65512799100).

Almost surely, 2^{5287824016600} is an apocalyptic number.

5287824016600 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 5287824016600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6289228713600).

5287824016600 is an abundant number, since it is smaller than the sum of its proper divisors (7290633410600).

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

5287824016600 is a wasteful number, since it uses less digits than its factorization.

5287824016600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4794 (or 4785 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 49.

The spelling of 5287824016600 in words is "five trillion, two hundred eighty-seven billion, eight hundred twenty-four million, sixteen thousand, six hundred".