5385184819200 has 2592 divisors, whose sum is σ = 22666677677280. Its totient is φ = 1261279641600.

The previous prime is 5385184819193. The next prime is 5385184819213. The reversal of 5385184819200 is 29184815835.

5385184819200 is a `hidden beast` number, since 5 + 38 + 518 + 4 + 8 + 1 + 92 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 131345971180 + ... + 131345971220.

It is an arithmetic number, because the mean of its divisors is an integer number (8744860215).

Almost surely, 2^{5385184819200} is an apocalyptic number.

5385184819200 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 5385184819200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11333338838640).

5385184819200 is an abundant number, since it is smaller than the sum of its proper divisors (17281492858080).

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

5385184819200 is an equidigital number, since it uses as much as digits as its factorization.

5385184819200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 5385184819200 in words is "five trillion, three hundred eighty-five billion, one hundred eighty-four million, eight hundred nineteen thousand, two hundred".