5200174544320 has 224 divisors, whose sum is σ = 14198994711936. Its totient is φ = 1776992256000.

The previous prime is 5200174544317. The next prime is 5200174544321. The reversal of 5200174544320 is 234454710025.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 5200174544320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5200174544321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2102778604 + ... + 2102781076.

Almost surely, 2^{5200174544320} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5200174544320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7099497355968).

5200174544320 is an abundant number, since it is smaller than the sum of its proper divisors (8998820167616).

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

5200174544320 is a wasteful number, since it uses less digits than its factorization.

5200174544320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5239 (or 5229 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 37.

The spelling of 5200174544320 in words is "five trillion, two hundred billion, one hundred seventy-four million, five hundred forty-four thousand, three hundred twenty".