500563795200 has 864 divisors, whose sum is σ = 1960167874560. Its totient is φ = 110083276800.

The previous prime is 500563795189. The next prime is 500563795201. The reversal of 500563795200 is 2597365005.

It is a super-2 number, since 2×500563795200² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (500563795201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1320748611 + ... + 1320748989.

Almost surely, 2^500563795200 is an apocalyptic number.

500563795200 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 500563795200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (980083937280).

500563795200 is an abundant number, since it is smaller than the sum of its proper divisors (1459604079360).

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

500563795200 is a wasteful number, since it uses less digits than its factorization.

500563795200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 283500, while the sum is 42.

The spelling of 500563795200 in words is "five hundred billion, five hundred sixty-three million, seven hundred ninety-five thousand, two hundred".