506390016000 has 1664 divisors, whose sum is σ = 2040221094912. Its totient is φ = 110100480000.

The previous prime is 506390015947. The next prime is 506390016001. The reversal of 506390016000 is 610093605.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506390016001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11776511979 + ... + 11776512021.

It is an arithmetic number, because the mean of its divisors is an integer number (1226094408).

Almost surely, 2^506390016000 is an apocalyptic number.

506390016000 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 506390016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1020110547456).

506390016000 is an abundant number, since it is smaller than the sum of its proper divisors (1533831078912).

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

506390016000 is a wasteful number, since it uses less digits than its factorization.

506390016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The spelling of 506390016000 in words is "five hundred six billion, three hundred ninety million, sixteen thousand".