5258508376800 has 144 divisors (see below), whose sum is σ = 19561651224192. Its totient is φ = 1201944768000.

The previous prime is 5258508376739. The next prime is 5258508376813. The reversal of 5258508376800 is 86738058525.

It is a happy number.

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, 156486426 + ... + 156520025.

It is an arithmetic number, because the mean of its divisors is an integer number (135844800168).

Almost surely, 2^{5258508376800} is an apocalyptic number.

5258508376800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5258508376800 is an abundant number, since it is smaller than the sum of its proper divisors (14303142847392).

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

5258508376800 is a wasteful number, since it uses less digits than its factorization.

5258508376800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313006481 (or 313006468 counting only the distinct ones).

The product of its (nonzero) digits is 16128000, while the sum is 57.

The spelling of 5258508376800 in words is "five trillion, two hundred fifty-eight billion, five hundred eight million, three hundred seventy-six thousand, eight hundred".