501605216134000 has 240 divisors, whose sum is σ = 1333461014907840. Its totient is φ = 182361693888000.

The previous prime is 501605216133941. The next prime is 501605216134037. The reversal of 501605216134000 is 431612506105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1108859866 + ... + 1109312134.

It is an arithmetic number, because the mean of its divisors is an integer number (5556087562116).

Almost surely, 2^{501605216134000} is an apocalyptic number.

501605216134000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 501605216134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666730507453920).

501605216134000 is an abundant number, since it is smaller than the sum of its proper divisors (831855798773840).

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

501605216134000 is a wasteful number, since it uses less digits than its factorization.

501605216134000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456897 (or 456870 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The spelling of 501605216134000 in words is "five hundred one trillion, six hundred five billion, two hundred sixteen million, one hundred thirty-four thousand".