500545936800 has 1152 divisors, whose sum is σ = 2273979456000. Its totient is φ = 105589370880.

The previous prime is 500545936777. The next prime is 500545936811. The reversal of 500545936800 is 8639545005.

500545936800 is a `hidden beast` number, since 5 + 0 + 0 + 54 + 593 + 6 + 8 + 0 + 0 = 666.

500545936800 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×500545936800³ (a number of 36 digits) contains 333 as substring.

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 191 ways as a sum of consecutive naturals, for example, 96311802 + ... + 96316998.

It is an arithmetic number, because the mean of its divisors is an integer number (1973940500).

Almost surely, 2^500545936800 is an apocalyptic number.

500545936800 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 500545936800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1136989728000).

500545936800 is an abundant number, since it is smaller than the sum of its proper divisors (1773433519200).

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

500545936800 is a wasteful number, since it uses less digits than its factorization.

500545936800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5260 (or 5227 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 500545936800 in words is "five hundred billion, five hundred forty-five million, nine hundred thirty-six thousand, eight hundred".