505514072028 has 192 divisors, whose sum is σ = 1441418969088. Its totient is φ = 134599449600.

The previous prime is 505514072017. The next prime is 505514072051. The reversal of 505514072028 is 820270415505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 102100953 + ... + 102105903.

It is an arithmetic number, because the mean of its divisors is an integer number (7507390464).

Almost surely, 2^505514072028 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 505514072028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720709484544).

505514072028 is an abundant number, since it is smaller than the sum of its proper divisors (935904897060).

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

505514072028 is a wasteful number, since it uses less digits than its factorization.

505514072028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5672 (or 5670 counting only the distinct ones).

The product of its (nonzero) digits is 112000, while the sum is 39.

The spelling of 505514072028 in words is "five hundred five billion, five hundred fourteen million, seventy-two thousand, twenty-eight".