5235245122400 has 144 divisors (see below), whose sum is σ = 13075762472640. Its totient is φ = 2046272716800.

The previous prime is 5235245122399. The next prime is 5235245122409. The reversal of 5235245122400 is 42215425325.

It is a happy number.

It is a super-2 number, since 2×5235245122400² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5235245122409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5703410 + ... + 6557390.

It is an arithmetic number, because the mean of its divisors is an integer number (90803906060).

Almost surely, 2^{5235245122400} is an apocalyptic number.

5235245122400 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 5235245122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6537881236320).

5235245122400 is an abundant number, since it is smaller than the sum of its proper divisors (7840517350240).

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

5235245122400 is a wasteful number, since it uses less digits than its factorization.

5235245122400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854177 (or 854164 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 35.

The spelling of 5235245122400 in words is "five trillion, two hundred thirty-five billion, two hundred forty-five million, one hundred twenty-two thousand, four hundred".