5258448814080 has 1920 divisors, whose sum is σ = 22014390988800. Its totient is φ = 1062029230080.

The previous prime is 5258448814057. The next prime is 5258448814093. The reversal of 5258448814080 is 804188448525.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5258448814080.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 49144381387 + ... + 49144381493.

It is an arithmetic number, because the mean of its divisors is an integer number (11465828640).

Almost surely, 2^{5258448814080} 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 5258448814080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11007195494400).

5258448814080 is an abundant number, since it is smaller than the sum of its proper divisors (16755942174720).

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

5258448814080 is a wasteful number, since it uses less digits than its factorization.

5258448814080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 13107200, while the sum is 57.

The spelling of 5258448814080 in words is "five trillion, two hundred fifty-eight billion, four hundred forty-eight million, eight hundred fourteen thousand, eighty".