505056033600 has 168 divisors, whose sum is σ = 1660702190400. Its totient is φ = 134381076480.

The previous prime is 505056033593. The next prime is 505056033607. The reversal of 505056033600 is 6330650505.

It is an interprime number because it is at equal distance from previous prime (505056033593) and next prime (505056033607).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505056033607) 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 23 ways as a sum of consecutive naturals, for example, 2038029 + ... + 2272371.

Almost surely, 2^505056033600 is an apocalyptic number.

505056033600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505056033600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830351095200).

505056033600 is an abundant number, since it is smaller than the sum of its proper divisors (1155646156800).

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

505056033600 is a wasteful number, since it uses less digits than its factorization.

505056033600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234817 (or 234802 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 33.

The spelling of 505056033600 in words is "five hundred five billion, fifty-six million, thirty-three thousand, six hundred".