505948068288 has 672 divisors, whose sum is σ = 1658470322880. Its totient is φ = 153019736064.

The previous prime is 505948068287. The next prime is 505948068313. The reversal of 505948068288 is 882860849505.

505948068288 is a `hidden beast` number, since 505 + 9 + 48 + 0 + 6 + 8 + 2 + 88 = 666.

It is a super-2 number, since 2×505948068288² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505948068287) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1726785070 + ... + 1726785362.

It is an arithmetic number, because the mean of its divisors is an integer number (2467961790).

Almost surely, 2^505948068288 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 505948068288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829235161440).

505948068288 is an abundant number, since it is smaller than the sum of its proper divisors (1152522254592).

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

505948068288 is an equidigital number, since it uses as much as digits as its factorization.

505948068288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 44236800, while the sum is 63.

The spelling of 505948068288 in words is "five hundred five billion, nine hundred forty-eight million, sixty-eight thousand, two hundred eighty-eight".