5103563824800 has 1440 divisors, whose sum is σ = 21697904245248. Its totient is φ = 1143281018880.

The previous prime is 5103563824789. The next prime is 5103563824871. The reversal of 5103563824800 is 84283653015.

5103563824800 is a `hidden beast` number, since 5 + 1 + 0 + 3 + 5 + 638 + 2 + 4 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 9330098127 + ... + 9330098673.

Almost surely, 2^{5103563824800} is an apocalyptic number.

5103563824800 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 5103563824800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10848952122624).

5103563824800 is an abundant number, since it is smaller than the sum of its proper divisors (16594340420448).

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

5103563824800 is a wasteful number, since it uses less digits than its factorization.

5103563824800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 5103563824800 in words is "five trillion, one hundred three billion, five hundred sixty-three million, eight hundred twenty-four thousand, eight hundred".