500985907200 has 864 divisors, whose sum is σ = 1891569869280. Its totient is φ = 131383296000.

The previous prime is 500985907183. The next prime is 500985907243. The reversal of 500985907200 is 2709589005.

It is a happy number.

500985907200 is a `hidden beast` number, since 50 + 0 + 9 + 8 + 590 + 7 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 833586900 + ... + 833587500.

Almost surely, 2^500985907200 is an apocalyptic number.

500985907200 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 500985907200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (945784934640).

500985907200 is an abundant number, since it is smaller than the sum of its proper divisors (1390583962080).

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

500985907200 is an equidigital number, since it uses as much as digits as its factorization.

500985907200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 500985907200 in words is "five hundred billion, nine hundred eighty-five million, nine hundred seven thousand, two hundred".