5825563464600 has 1728 divisors, whose sum is σ = 24863589878400. Its totient is φ = 1258816204800.

The previous prime is 5825563464557. The next prime is 5825563464661. The reversal of 5825563464600 is 64643655285.

5825563464600 is a `hidden beast` number, since 5 + 8 + 2 + 556 + 3 + 46 + 46 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1899432267 + ... + 1899435333.

It is an arithmetic number, because the mean of its divisors is an integer number (14388651550).

Almost surely, 2^{5825563464600} is an apocalyptic number.

5825563464600 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 5825563464600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12431794939200).

5825563464600 is an abundant number, since it is smaller than the sum of its proper divisors (19038026413800).

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

5825563464600 is a wasteful number, since it uses less digits than its factorization.

5825563464600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3156 (or 3124 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 54.

The spelling of 5825563464600 in words is "five trillion, eight hundred twenty-five billion, five hundred sixty-three million, four hundred sixty-four thousand, six hundred".