5229406828800 has 3456 divisors, whose sum is σ = 25796548915200. Its totient is φ = 1003290624000.

The previous prime is 5229406828781. The next prime is 5229406828823. The reversal of 5229406828800 is 88286049225.

It is a happy number.

5229406828800 is a `hidden beast` number, since 5 + 229 + 406 + 8 + 2 + 8 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-2 number, since 2×5229406828800² (a number of 26 digits) contains 22 as substring.

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 383 ways as a sum of consecutive naturals, for example, 13797907011 + ... + 13797907389.

It is an arithmetic number, because the mean of its divisors is an integer number (7464279200).

Almost surely, 2^{5229406828800} is an apocalyptic number.

5229406828800 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 5229406828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12898274457600).

5229406828800 is an abundant number, since it is smaller than the sum of its proper divisors (20567142086400).

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

5229406828800 is a wasteful number, since it uses less digits than its factorization.

5229406828800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 485 counting only the distinct ones).

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

The spelling of 5229406828800 in words is "five trillion, two hundred twenty-nine billion, four hundred six million, eight hundred twenty-eight thousand, eight hundred".