5502308258304 has 1200 divisors, whose sum is σ = 20032264353024. Its totient is φ = 1480848998400.

The previous prime is 5502308258261. The next prime is 5502308258311. The reversal of 5502308258304 is 4038528032055.

5502308258304 is a `hidden beast` number, since 5 + 502 + 30 + 82 + 5 + 8 + 30 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5502308258304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 31805249962 + ... + 31805250134.

Almost surely, 2^{5502308258304} is an apocalyptic number.

5502308258304 is a gapful number since it is divisible by the number (54) 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 5502308258304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10016132176512).

5502308258304 is an abundant number, since it is smaller than the sum of its proper divisors (14529956094720).

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

5502308258304 is a wasteful number, since it uses less digits than its factorization.

5502308258304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 5502308258304 in words is "five trillion, five hundred two billion, three hundred eight million, two hundred fifty-eight thousand, three hundred four".