5303353310400 has 168 divisors, whose sum is σ = 17455012459984. Its totient is φ = 1409708851200.

The previous prime is 5303353310389. The next prime is 5303353310413. The reversal of 5303353310400 is 40133533035.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 262561 + ... + 3267360.

Almost surely, 2^{5303353310400} is an apocalyptic number.

5303353310400 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 5303353310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8727506229992).

5303353310400 is an abundant number, since it is smaller than the sum of its proper divisors (12151659149584).

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

5303353310400 is a wasteful number, since it uses less digits than its factorization.

5303353310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3530259 (or 3530244 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 30.

Adding to 5303353310400 its reverse (40133533035), we get a palindrome (5343486843435).

The spelling of 5303353310400 in words is "five trillion, three hundred three billion, three hundred fifty-three million, three hundred ten thousand, four hundred".