506823885000 has 480 divisors, whose sum is σ = 1792183192800. Its totient is φ = 134136000000.

The previous prime is 506823884893. The next prime is 506823885013. The reversal of 506823885000 is 588328605.

It is a happy number.

506823885000 is a `hidden beast` number, since 5 + 0 + 68 + 2 + 3 + 88 + 500 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 168883500 + ... + 168886500.

It is an arithmetic number, because the mean of its divisors is an integer number (3733714985).

Almost surely, 2^506823885000 is an apocalyptic number.

506823885000 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 506823885000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896091596400).

506823885000 is an abundant number, since it is smaller than the sum of its proper divisors (1285359307800).

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

506823885000 is a wasteful number, since it uses less digits than its factorization.

506823885000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3181 (or 3150 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 506823885000 in words is "five hundred six billion, eight hundred twenty-three million, eight hundred eighty-five thousand".