5318128435200 has 720 divisors, whose sum is σ = 20243067530400. Its totient is φ = 1206827089920.

The previous prime is 5318128435181. The next prime is 5318128435231. The reversal of 5318128435200 is 25348218135.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 38259916731 + ... + 38259916869.

It is an arithmetic number, because the mean of its divisors is an integer number (28115371570).

Almost surely, 2^{5318128435200} is an apocalyptic number.

5318128435200 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 5318128435200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10121533765200).

5318128435200 is an abundant number, since it is smaller than the sum of its proper divisors (14924939095200).

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

5318128435200 is an frugal number, since it uses more digits than its factorization.

5318128435200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

Multiplying 5318128435200 by its sum of digits (42), we get a square (223361394278400 = 14945280²).

5318128435200 divided by its sum of digits (42) gives a square (126622105600 = 355840²).

The spelling of 5318128435200 in words is "five trillion, three hundred eighteen billion, one hundred twenty-eight million, four hundred thirty-five thousand, two hundred".