5288599900800 has 1536 divisors, whose sum is σ = 21306921984000. Its totient is φ = 1291960627200.

The previous prime is 5288599900789. The next prime is 5288599900807. The reversal of 5288599900800 is 80099958825.

It is a super-4 number, since 4×5288599900800⁴ (a number of 52 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5288599900807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4122056959 + ... + 4122058241.

It is an arithmetic number, because the mean of its divisors is an integer number (13871694000).

Almost surely, 2^{5288599900800} is an apocalyptic number.

5288599900800 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 5288599900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10653460992000).

5288599900800 is an abundant number, since it is smaller than the sum of its proper divisors (16018322083200).

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

5288599900800 is a wasteful number, since it uses less digits than its factorization.

5288599900800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 63.

The spelling of 5288599900800 in words is "five trillion, two hundred eighty-eight billion, five hundred ninety-nine million, nine hundred thousand, eight hundred".