5063498956800 has 960 divisors, whose sum is σ = 18929260732140. Its totient is φ = 1338003947520.

The previous prime is 5063498956783. The next prime is 5063498956801. The reversal of 5063498956800 is 86598943605.

5063498956800 is a `hidden beast` number, since 5 + 0 + 63 + 4 + 9 + 8 + 9 + 568 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 938635444224 + 4124863512576 = 968832^2 + 2030976^2 .

It is a tau number, because it is divible by the number of its divisors (960).

It is not an unprimeable number, because it can be changed into a prime (5063498956801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 9090662122 + ... + 9090662678.

Almost surely, 2^{5063498956800} is an apocalyptic number.

5063498956800 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 5063498956800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9464630366070).

5063498956800 is an abundant number, since it is smaller than the sum of its proper divisors (13865761775340).

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

5063498956800 is an equidigital number, since it uses as much as digits as its factorization.

5063498956800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 5063498956800 in words is "five trillion, sixty-three billion, four hundred ninety-eight million, nine hundred fifty-six thousand, eight hundred".