500105505984 has 168 divisors, whose sum is σ = 1539903823920. Its totient is φ = 142824536064.

The previous prime is 500105505983. The next prime is 500105506001. The reversal of 500105505984 is 489505501005.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (500105505983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24045862 + ... + 24066650.

It is an arithmetic number, because the mean of its divisors is an integer number (9166094190).

Almost surely, 2^500105505984 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 500105505984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769951911960).

500105505984 is an abundant number, since it is smaller than the sum of its proper divisors (1039798317936).

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

500105505984 is a wasteful number, since it uses less digits than its factorization.

500105505984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23375 (or 23358 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 42.

The spelling of 500105505984 in words is "five hundred billion, one hundred five million, five hundred five thousand, nine hundred eighty-four".