505845028800 has 252 divisors, whose sum is σ = 1800124620216. Its totient is φ = 134724556800.

The previous prime is 505845028681. The next prime is 505845028813. The reversal of 505845028800 is 8820548505.

505845028800 is a `hidden beast` number, since 50 + 58 + 450 + 28 + 80 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11801007 + ... + 11843793.

Almost surely, 2^505845028800 is an apocalyptic number.

505845028800 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 505845028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900062310108).

505845028800 is an abundant number, since it is smaller than the sum of its proper divisors (1294279591416).

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

505845028800 is a wasteful number, since it uses less digits than its factorization.

505845028800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43636 (or 43618 counting only the distinct ones).

The product of its (nonzero) digits is 512000, while the sum is 45.

The spelling of 505845028800 in words is "five hundred five billion, eight hundred forty-five million, twenty-eight thousand, eight hundred".