500081617689984 has 768 divisors, whose sum is σ = 1594377308160000. Its totient is φ = 149195586355200.

The previous prime is 500081617689967. The next prime is 500081617689989. The reversal of 500081617689984 is 489986716180005.

500081617689984 is a `hidden beast` number, since 500 + 0 + 8 + 16 + 17 + 6 + 8 + 9 + 98 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (500081617689989) 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 95 ways as a sum of consecutive naturals, for example, 134829229122 + ... + 134829232830.

It is an arithmetic number, because the mean of its divisors is an integer number (2076012120000).

Almost surely, 2^{500081617689984} 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 500081617689984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797188654080000).

500081617689984 is an abundant number, since it is smaller than the sum of its proper divisors (1094295690470016).

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

500081617689984 is a wasteful number, since it uses less digits than its factorization.

500081617689984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4487 (or 4472 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 72.

The spelling of 500081617689984 in words is "five hundred trillion, eighty-one billion, six hundred seventeen million, six hundred eighty-nine thousand, nine hundred eighty-four".