5184920108160 has 1920 divisors, whose sum is σ = 21933941736960. Its totient is φ = 1161428336640.

The previous prime is 5184920108131. The next prime is 5184920108267. The reversal of 5184920108160 is 618010294815.

It is a happy number.

5184920108160 is a `hidden beast` number, since 5 + 18 + 492 + 0 + 10 + 81 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 4617025359 + ... + 4617026481.

It is an arithmetic number, because the mean of its divisors is an integer number (11423927988).

Almost surely, 2^{5184920108160} 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 5184920108160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10966970868480).

5184920108160 is an abundant number, since it is smaller than the sum of its proper divisors (16749021628800).

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

5184920108160 is a wasteful number, since it uses less digits than its factorization.

5184920108160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 5184920108160 in words is "five trillion, one hundred eighty-four billion, nine hundred twenty million, one hundred eight thousand, one hundred sixty".