538682853340800 has 6912 divisors, whose sum is σ = 2549124464640000. Its totient is φ = 111995451187200.

The previous prime is 538682853340757. The next prime is 538682853340823. The reversal of 538682853340800 is 8043358286835.

538682853340800 is a `hidden beast` number, since 5 + 3 + 8 + 6 + 8 + 285 + 3 + 340 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 4241597270337 + ... + 4241597270463.

Almost surely, 2^{538682853340800} is an apocalyptic number.

538682853340800 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 538682853340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1274562232320000).

538682853340800 is an abundant number, since it is smaller than the sum of its proper divisors (2010441611299200).

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

538682853340800 is an equidigital number, since it uses as much as digits as its factorization.

538682853340800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 132710400, while the sum is 63.

The spelling of 538682853340800 in words is "five hundred thirty-eight trillion, six hundred eighty-two billion, eight hundred fifty-three million, three hundred forty thousand, eight hundred".