538825566787200 has 1920 divisors, whose sum is σ = 2503103002583040. Its totient is φ = 110876304384000.

The previous prime is 538825566787111. The next prime is 538825566787201. The reversal of 538825566787200 is 2787665528835.

538825566787200 is a `hidden beast` number, since 5 + 3 + 8 + 8 + 2 + 556 + 67 + 8 + 7 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (538825566787201) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 2055584145 + ... + 2055846255.

It is an arithmetic number, because the mean of its divisors is an integer number (1303699480512).

Almost surely, 2^{538825566787200} is an apocalyptic number.

538825566787200 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 538825566787200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1251551501291520).

538825566787200 is an abundant number, since it is smaller than the sum of its proper divisors (1964277435795840).

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

538825566787200 is a wasteful number, since it uses less digits than its factorization.

538825566787200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262268 (or 262242 counting only the distinct ones).

The product of its (nonzero) digits is 1354752000, while the sum is 72.

The spelling of 538825566787200 in words is "five hundred thirty-eight trillion, eight hundred twenty-five billion, five hundred sixty-six million, seven hundred eighty-seven thousand, two hundred".