506075566000 has 160 divisors (see below), whose sum is σ = 1273992977088. Its totient is φ = 194258995200.

The previous prime is 506075565979. The next prime is 506075566027. The reversal of 506075566000 is 665570605.

It is a super-2 number, since 2×506075566000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5355159 + ... + 5448841.

Almost surely, 2^506075566000 is an apocalyptic number.

506075566000 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 506075566000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636996488544).

506075566000 is an abundant number, since it is smaller than the sum of its proper divisors (767917411088).

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

506075566000 is a wasteful number, since it uses less digits than its factorization.

506075566000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93816 (or 93800 counting only the distinct ones).

The product of its (nonzero) digits is 189000, while the sum is 40.

The spelling of 506075566000 in words is "five hundred six billion, seventy-five million, five hundred sixty-six thousand".