5388984115200 has 2016 divisors, whose sum is σ = 23730426869760. Its totient is φ = 1140955545600.

The previous prime is 5388984115199. The next prime is 5388984115201. The reversal of 5388984115200 is 25114898835.

5388984115200 is a `hidden beast` number, since 5 + 38 + 8 + 9 + 84 + 1 + 1 + 520 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5388984115199) and next prime (5388984115201).

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×5388984115200² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5388984115201) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 17327923045 + ... + 17327923355.

Almost surely, 2^{5388984115200} is an apocalyptic number.

5388984115200 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 5388984115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11865213434880).

5388984115200 is an abundant number, since it is smaller than the sum of its proper divisors (18341442754560).

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

5388984115200 is a wasteful number, since it uses less digits than its factorization.

5388984115200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 424 counting only the distinct ones).

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

The spelling of 5388984115200 in words is "five trillion, three hundred eighty-eight billion, nine hundred eighty-four million, one hundred fifteen thousand, two hundred".