493782137053128 has 1920 divisors, whose sum is σ = 1915034482944000. Its totient is φ = 117139745479680.

The previous prime is 493782137053123. The next prime is 493782137053151. The reversal of 493782137053128 is 821350731287394.

493782137053128 is a `hidden beast` number, since 4 + 9 + 3 + 7 + 8 + 2 + 1 + 3 + 70 + 531 + 28 = 666.

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 (493782137053123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 20897281218 + ... + 20897304846.

It is an arithmetic number, because the mean of its divisors is an integer number (997413793200).

Almost surely, 2^{493782137053128} 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 493782137053128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957517241472000).

493782137053128 is an abundant number, since it is smaller than the sum of its proper divisors (1421252345890872).

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

493782137053128 is a wasteful number, since it uses less digits than its factorization.

493782137053128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23805 (or 23785 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 493782137053128 in words is "four hundred ninety-three trillion, seven hundred eighty-two billion, one hundred thirty-seven million, fifty-three thousand, one hundred twenty-eight".