506000055040 has 288 divisors, whose sum is σ = 1337929306560. Its totient is φ = 182491545600.

The previous prime is 506000054981. The next prime is 506000055047. The reversal of 506000055040 is 40550000605.

It is a junction number, because it is equal to n+sod(n) for n = 506000054996 and 506000055014.

It is not an unprimeable number, because it can be changed into a prime (506000055047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82663180 + ... + 82669300.

It is an arithmetic number, because the mean of its divisors is an integer number (4645587870).

Almost surely, 2^506000055040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506000055040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668964653280).

506000055040 is an abundant number, since it is smaller than the sum of its proper divisors (831929251520).

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

506000055040 is a wasteful number, since it uses less digits than its factorization.

506000055040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6319 (or 6305 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

Adding to 506000055040 its reverse (40550000605), we get a palindrome (546550055645).

The spelling of 506000055040 in words is "five hundred six billion, fifty-five thousand, forty".