5222643148800 has 3456 divisors, whose sum is σ = 25145590579200. Its totient is φ = 1003290624000.

The previous prime is 5222643148691. The next prime is 5222643148903. The reversal of 5222643148800 is 88413462225.

5222643148800 is a `hidden beast` number, since 522 + 2 + 6 + 4 + 3 + 1 + 48 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 41123174337 + ... + 41123174463.

It is an arithmetic number, because the mean of its divisors is an integer number (7275923200).

Almost surely, 2^{5222643148800} is an apocalyptic number.

5222643148800 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 5222643148800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12572795289600).

5222643148800 is an abundant number, since it is smaller than the sum of its proper divisors (19922947430400).

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

5222643148800 is a wasteful number, since it uses less digits than its factorization.

5222643148800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 5222643148800 in words is "five trillion, two hundred twenty-two billion, six hundred forty-three million, one hundred forty-eight thousand, eight hundred".