5305223334400 has 240 divisors, whose sum is σ = 14414170434048. Its totient is φ = 1919062016000.

The previous prime is 5305223334361. The next prime is 5305223334427. The reversal of 5305223334400 is 44333225035.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26794164 + ... + 26991436.

Almost surely, 2^{5305223334400} is an apocalyptic number.

5305223334400 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 5305223334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7207085217024).

5305223334400 is an abundant number, since it is smaller than the sum of its proper divisors (9108947099648).

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

5305223334400 is a wasteful number, since it uses less digits than its factorization.

5305223334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197503 (or 197482 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 34.

Adding to 5305223334400 its reverse (44333225035), we get a palindrome (5349556559435).

The spelling of 5305223334400 in words is "five trillion, three hundred five billion, two hundred twenty-three million, three hundred thirty-four thousand, four hundred".