506759040000 has 660 divisors, whose sum is σ = 1849371467944. Its totient is φ = 133595136000.

The previous prime is 506759039993. The next prime is 506759040061. The reversal of 506759040000 is 40957605.

506759040000 is a `hidden beast` number, since 5 + 0 + 67 + 590 + 4 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 558719547 + ... + 558720453.

Almost surely, 2^506759040000 is an apocalyptic number.

506759040000 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 506759040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924685733972).

506759040000 is an abundant number, since it is smaller than the sum of its proper divisors (1342612427944).

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

506759040000 is an equidigital number, since it uses as much as digits as its factorization.

506759040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

Adding to 506759040000 its reverse (40957605), we get a palindrome (506799997605).

The spelling of 506759040000 in words is "five hundred six billion, seven hundred fifty-nine million, forty thousand".