505485066240 has 1728 divisors, whose sum is σ = 2323803323520. Its totient is φ = 103054049280.

The previous prime is 505485066181. The next prime is 505485066241. The reversal of 505485066240 is 42660584505.

505485066240 is a `hidden beast` number, since 5 + 0 + 5 + 48 + 506 + 62 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505485066241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9537454054 + ... + 9537454106.

It is an arithmetic number, because the mean of its divisors is an integer number (1344793590).

Almost surely, 2^505485066240 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 505485066240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1161901661760).

505485066240 is an abundant number, since it is smaller than the sum of its proper divisors (1818318257280).

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

505485066240 is an equidigital number, since it uses as much as digits as its factorization.

505485066240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 505485066240 in words is "five hundred five billion, four hundred eighty-five million, sixty-six thousand, two hundred forty".