5229224610400 has 288 divisors, whose sum is σ = 15139656000000. Its totient is φ = 1762483806720.

The previous prime is 5229224610397. The next prime is 5229224610403. The reversal of 5229224610400 is 40164229225.

It is an interprime number because it is at equal distance from previous prime (5229224610397) and next prime (5229224610403).

It is a self number, because there is not a number n which added to its sum of digits gives 5229224610400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5229224610403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16028101 + ... + 16351099.

It is an arithmetic number, because the mean of its divisors is an integer number (52568250000).

Almost surely, 2^{5229224610400} is an apocalyptic number.

5229224610400 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 5229224610400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7569828000000).

5229224610400 is an abundant number, since it is smaller than the sum of its proper divisors (9910431389600).

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

5229224610400 is a wasteful number, since it uses less digits than its factorization.

5229224610400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323099 (or 323072 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

Adding to 5229224610400 its reverse (40164229225), we get a palindrome (5269388839625).

The spelling of 5229224610400 in words is "five trillion, two hundred twenty-nine billion, two hundred twenty-four million, six hundred ten thousand, four hundred".