5305850558800 has 480 divisors, whose sum is σ = 14899320382464. Its totient is φ = 1794395136000.

The previous prime is 5305850558731. The next prime is 5305850558803. The reversal of 5305850558800 is 88550585035.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5305850558803) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5146314285 + ... + 5146315315.

Almost surely, 2^{5305850558800} is an apocalyptic number.

5305850558800 is a gapful number since it is divisible by the number (50) 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 5305850558800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7449660191232).

5305850558800 is an abundant number, since it is smaller than the sum of its proper divisors (9593469823664).

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

5305850558800 is a wasteful number, since it uses less digits than its factorization.

5305850558800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1827 (or 1816 counting only the distinct ones).

The product of its (nonzero) digits is 4800000, while the sum is 52.

The spelling of 5305850558800 in words is "five trillion, three hundred five billion, eight hundred fifty million, five hundred fifty-eight thousand, eight hundred".