5334793228800 has 4320 divisors, whose sum is σ = 25582313877120. Its totient is φ = 1092472012800.

The previous prime is 5334793228799. The next prime is 5334793228819. The reversal of 5334793228800 is 88223974335.

5334793228800 is a `hidden beast` number, since 5 + 334 + 7 + 9 + 3 + 228 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

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

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 75137932765 + ... + 75137932835.

It is an arithmetic number, because the mean of its divisors is an integer number (5921831916).

Almost surely, 2^{5334793228800} is an apocalyptic number.

5334793228800 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 5334793228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12791156938560).

5334793228800 is an abundant number, since it is smaller than the sum of its proper divisors (20247520648320).

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

5334793228800 is a wasteful number, since it uses less digits than its factorization.

5334793228800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 5334793228800 in words is "five trillion, three hundred thirty-four billion, seven hundred ninety-three million, two hundred twenty-eight thousand, eight hundred".