5238414720000 has 3520 divisors, whose sum is σ = 25145486868480. Its totient is φ = 1045094400000.

The previous prime is 5238414719999. The next prime is 5238414720037. The reversal of 5238414720000 is 274148325.

It is a happy number.

5238414720000 is a `hidden beast` number, since 5 + 2 + 38 + 414 + 7 + 200 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3520).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 41247359937 + ... + 41247360063.

It is an arithmetic number, because the mean of its divisors is an integer number (7143604224).

Almost surely, 2^{5238414720000} is an apocalyptic number.

5238414720000 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 5238414720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12572743434240).

5238414720000 is an abundant number, since it is smaller than the sum of its proper divisors (19907072148480).

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

5238414720000 is a wasteful number, since it uses less digits than its factorization.

5238414720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

Adding to 5238414720000 its reverse (274148325), we get a palindrome (5238688868325).

The spelling of 5238414720000 in words is "five trillion, two hundred thirty-eight billion, four hundred fourteen million, seven hundred twenty thousand".