505007722397880 has 2560 divisors, whose sum is σ = 2074150885847040. Its totient is φ = 108908869386240.

The previous prime is 505007722397833. The next prime is 505007722397881. The reversal of 505007722397880 is 88793227700505.

505007722397880 is a `hidden beast` number, since 5 + 0 + 500 + 7 + 7 + 22 + 39 + 78 + 8 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505007722397881) 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 639 ways as a sum of consecutive naturals, for example, 220238866014 + ... + 220238868306.

It is an arithmetic number, because the mean of its divisors is an integer number (810215189784).

Almost surely, 2^{505007722397880} 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 505007722397880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1037075442923520).

505007722397880 is an abundant number, since it is smaller than the sum of its proper divisors (1569143163449160).

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

505007722397880 is a wasteful number, since it uses less digits than its factorization.

505007722397880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2723 (or 2710 counting only the distinct ones).

The product of its (nonzero) digits is 59270400, while the sum is 63.

The spelling of 505007722397880 in words is "five hundred five trillion, seven billion, seven hundred twenty-two million, three hundred ninety-seven thousand, eight hundred eighty".