505200142800 has 1200 divisors, whose sum is σ = 2057559736320. Its totient is φ = 118039680000.

The previous prime is 505200142793. The next prime is 505200142801. The reversal of 505200142800 is 8241002505.

It is a happy number.

505200142800 is a `hidden beast` number, since 50 + 520 + 0 + 14 + 2 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505200142801) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 438922225 + ... + 438923375.

Almost surely, 2^505200142800 is an apocalyptic number.

505200142800 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 505200142800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028779868160).

505200142800 is an abundant number, since it is smaller than the sum of its proper divisors (1552359593520).

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

505200142800 is a wasteful number, since it uses less digits than its factorization.

505200142800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The spelling of 505200142800 in words is "five hundred five billion, two hundred million, one hundred forty-two thousand, eight hundred".