501170104116 has 288 divisors, whose sum is σ = 1488363117696. Its totient is φ = 146126592000.

The previous prime is 501170104111. The next prime is 501170104207. The reversal of 501170104116 is 611401071105.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 501170104116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (501170104111) 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 95 ways as a sum of consecutive naturals, for example, 31993326 + ... + 32008986.

It is an arithmetic number, because the mean of its divisors is an integer number (5167927492).

Almost surely, 2^501170104116 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 501170104116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744181558848).

501170104116 is an abundant number, since it is smaller than the sum of its proper divisors (987193013580).

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

501170104116 is a wasteful number, since it uses less digits than its factorization.

501170104116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15805 (or 15791 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 27.

The spelling of 501170104116 in words is "five hundred one billion, one hundred seventy million, one hundred four thousand, one hundred sixteen".