538683168000 has 288 divisors, whose sum is σ = 1827320302080. Its totient is φ = 140591308800.

The previous prime is 538683167993. The next prime is 538683168029. The reversal of 538683168000 is 861386835.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4452306 + ... + 4571694.

It is an arithmetic number, because the mean of its divisors is an integer number (6344862160).

Almost surely, 2^538683168000 is an apocalyptic number.

538683168000 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 538683168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (913660151040).

538683168000 is an abundant number, since it is smaller than the sum of its proper divisors (1288637134080).

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

538683168000 is a wasteful number, since it uses less digits than its factorization.

538683168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119470 (or 119446 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 538683168000 in words is "five hundred thirty-eight billion, six hundred eighty-three million, one hundred sixty-eight thousand".