506345952000 has 1152 divisors, whose sum is σ = 2057055436800. Its totient is φ = 107760844800.

The previous prime is 506345951999. The next prime is 506345952001. The reversal of 506345952000 is 259543605.

It is an interprime number because it is at equal distance from previous prime (506345951999) and next prime (506345952001).

It is a self number, because there is not a number n which added to its sum of digits gives 506345952000.

It is not an unprimeable number, because it can be changed into a prime (506345952001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1450847826 + ... + 1450848174.

It is an arithmetic number, because the mean of its divisors is an integer number (1785638400).

Almost surely, 2^506345952000 is an apocalyptic number.

506345952000 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 506345952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028527718400).

506345952000 is an abundant number, since it is smaller than the sum of its proper divisors (1550709484800).

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

506345952000 is a wasteful number, since it uses less digits than its factorization.

506345952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 39.

The spelling of 506345952000 in words is "five hundred six billion, three hundred forty-five million, nine hundred fifty-two thousand".