5228252265600 has 1536 divisors, whose sum is σ = 23617863360000. Its totient is φ = 1099903795200.

The previous prime is 5228252265569. The next prime is 5228252265641. The reversal of 5228252265600 is 65622528225.

5228252265600 is a `hidden beast` number, since 5 + 2 + 2 + 8 + 2 + 522 + 65 + 60 + 0 = 666.

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

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 3530216860 + ... + 3530218340.

It is an arithmetic number, because the mean of its divisors is an integer number (15376213125).

Almost surely, 2^{5228252265600} is an apocalyptic number.

5228252265600 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 5228252265600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11808931680000).

5228252265600 is an abundant number, since it is smaller than the sum of its proper divisors (18389611094400).

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

5228252265600 is a wasteful number, since it uses less digits than its factorization.

5228252265600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1983 (or 1960 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 5228252265600 in words is "five trillion, two hundred twenty-eight billion, two hundred fifty-two million, two hundred sixty-five thousand, six hundred".