538933082688 has 1008 divisors, whose sum is σ = 2163523654656. Its totient is φ = 129166202880.

The previous prime is 538933082647. The next prime is 538933082689. The reversal of 538933082688 is 886280339835.

538933082688 is a `hidden beast` number, since 5 + 38 + 9 + 330 + 8 + 268 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is not an unprimeable number, because it can be changed into a prime (538933082689) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 202376845 + ... + 202379507.

It is an arithmetic number, because the mean of its divisors is an integer number (2146352832).

Almost surely, 2^538933082688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 538933082688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1081761827328).

538933082688 is an abundant number, since it is smaller than the sum of its proper divisors (1624590571968).

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

538933082688 is a wasteful number, since it uses less digits than its factorization.

538933082688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2734 (or 2699 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 538933082688 in words is "five hundred thirty-eight billion, nine hundred thirty-three million, eighty-two thousand, six hundred eighty-eight".