505533421632 has 224 divisors, whose sum is σ = 1478957875200. Its totient is φ = 151585595392.

The previous prime is 505533421597. The next prime is 505533421681. The reversal of 505533421632 is 236124335505.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175591969 + ... + 175594847.

Almost surely, 2^505533421632 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 505533421632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739478937600).

505533421632 is an abundant number, since it is smaller than the sum of its proper divisors (973424453568).

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

505533421632 is a wasteful number, since it uses less digits than its factorization.

505533421632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5273 (or 5263 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 39.

The spelling of 505533421632 in words is "five hundred five billion, five hundred thirty-three million, four hundred twenty-one thousand, six hundred thirty-two".