5084535553920 has 192 divisors, whose sum is σ = 17559861359040. Its totient is φ = 1355696640000.

The previous prime is 5084535553913. The next prime is 5084535553943. The reversal of 5084535553920 is 293555354805.

5084535553920 is a `hidden beast` number, since 5 + 0 + 8 + 4 + 53 + 55 + 539 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×5084535553920² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46699545 + ... + 46808295.

It is an arithmetic number, because the mean of its divisors is an integer number (91457611245).

Almost surely, 2^{5084535553920} 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 5084535553920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8779930679520).

5084535553920 is an abundant number, since it is smaller than the sum of its proper divisors (12475325805120).

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

5084535553920 is a wasteful number, since it uses less digits than its factorization.

5084535553920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116893 (or 116878 counting only the distinct ones).

The product of its (nonzero) digits is 16200000, while the sum is 54.

The spelling of 5084535553920 in words is "five trillion, eighty-four billion, five hundred thirty-five million, five hundred fifty-three thousand, nine hundred twenty".