505755048960 has 704 divisors, whose sum is σ = 2064696560640. Its totient is φ = 115006832640.

The previous prime is 505755048943. The next prime is 505755048961. The reversal of 505755048960 is 69840557505.

505755048960 is a `hidden beast` number, since 5 + 0 + 5 + 7 + 550 + 4 + 89 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 505755048897 and 505755048906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505755048961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 204179242 + ... + 204181718.

Almost surely, 2^505755048960 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 505755048960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1032348280320).

505755048960 is an abundant number, since it is smaller than the sum of its proper divisors (1558941511680).

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

505755048960 is a wasteful number, since it uses less digits than its factorization.

505755048960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2729 (or 2705 counting only the distinct ones).

The product of its (nonzero) digits is 7560000, while the sum is 54.

The spelling of 505755048960 in words is "five hundred five billion, seven hundred fifty-five million, forty-eight thousand, nine hundred sixty".