5613822028800 has 330 divisors, whose sum is σ = 20787330615348. Its totient is φ = 1497018654720.

The previous prime is 5613822028721. The next prime is 5613822028807. The reversal of 5613822028800 is 88202283165.

5613822028800 is a `hidden beast` number, since 5 + 61 + 382 + 202 + 8 + 8 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5613822028807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 719959 + ... + 3427241.

Almost surely, 2^{5613822028800} is an apocalyptic number.

5613822028800 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 5613822028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10393665307674).

5613822028800 is an abundant number, since it is smaller than the sum of its proper divisors (15173508586548).

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

5613822028800 is a wasteful number, since it uses less digits than its factorization.

5613822028800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2707325 (or 2707293 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 5613822028800 in words is "five trillion, six hundred thirteen billion, eight hundred twenty-two million, twenty-eight thousand, eight hundred".