5238705326400 has 5040 divisors, whose sum is σ = 26275888235520. Its totient is φ = 1011651379200.

The previous prime is 5238705326347. The next prime is 5238705326461. The reversal of 5238705326400 is 46235078325.

5238705326400 is a `hidden beast` number, since 5 + 2 + 3 + 8 + 70 + 532 + 6 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5040).

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

It is a congruent number.

It is an unprimeable number.

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 719 ways as a sum of consecutive naturals, for example, 58861857556 + ... + 58861857644.

It is an arithmetic number, because the mean of its divisors is an integer number (5213469888).

Almost surely, 2^{5238705326400} is an apocalyptic number.

5238705326400 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 5238705326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13137944117760).

5238705326400 is an abundant number, since it is smaller than the sum of its proper divisors (21037182909120).

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

5238705326400 is a wasteful number, since it uses less digits than its factorization.

5238705326400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 5238705326400 in words is "five trillion, two hundred thirty-eight billion, seven hundred five million, three hundred twenty-six thousand, four hundred".