538112218546800 has 600 divisors, whose sum is σ = 1998041427402240. Its totient is φ = 138554083699200.

The previous prime is 538112218546781. The next prime is 538112218546853. The reversal of 538112218546800 is 8645812211835.

538112218546800 is a `hidden beast` number, since 5 + 3 + 8 + 1 + 1 + 2 + 2 + 18 + 546 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 444344511 + ... + 445553889.

Almost surely, 2^{538112218546800} is an apocalyptic number.

538112218546800 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 538112218546800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999020713701120).

538112218546800 is an abundant number, since it is smaller than the sum of its proper divisors (1459929208855440).

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

538112218546800 is a wasteful number, since it uses less digits than its factorization.

538112218546800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209883 (or 1209863 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 54.

The spelling of 538112218546800 in words is "five hundred thirty-eight trillion, one hundred twelve billion, two hundred eighteen million, five hundred forty-six thousand, eight hundred".