5284295884800 has 1440 divisors, whose sum is σ = 20870072979840. Its totient is φ = 1322432593920.

The previous prime is 5284295884787. The next prime is 5284295884831. The reversal of 5284295884800 is 84885924825.

5284295884800 is a `hidden beast` number, since 5 + 2 + 8 + 4 + 2 + 9 + 588 + 48 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×5284295884800² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15228518227 + ... + 15228518573.

It is an arithmetic number, because the mean of its divisors is an integer number (14493106236).

Almost surely, 2^{5284295884800} is an apocalyptic number.

5284295884800 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 5284295884800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10435036489920).

5284295884800 is an abundant number, since it is smaller than the sum of its proper divisors (15585777095040).

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

5284295884800 is an frugal number, since it uses more digits than its factorization.

5284295884800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 58982400, while the sum is 63.

The spelling of 5284295884800 in words is "five trillion, two hundred eighty-four billion, two hundred ninety-five million, eight hundred eighty-four thousand, eight hundred".