5288816332800 has 4680 divisors, whose sum is σ = 26988348974400. Its totient is φ = 1014438297600.

The previous prime is 5288816332747. The next prime is 5288816332817. The reversal of 5288816332800 is 82336188825.

5288816332800 is a `hidden beast` number, since 5 + 288 + 81 + 6 + 3 + 3 + 280 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4680).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 406832025594 + ... + 406832025606.

Almost surely, 2^{5288816332800} is an apocalyptic number.

5288816332800 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 5288816332800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13494174487200).

5288816332800 is an abundant number, since it is smaller than the sum of its proper divisors (21699532641600).

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

5288816332800 is a wasteful number, since it uses less digits than its factorization.

5288816332800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 5288816332800 in words is "five trillion, two hundred eighty-eight billion, eight hundred sixteen million, three hundred thirty-two thousand, eight hundred".