506443562000 has 160 divisors (see below), whose sum is σ = 1270343692800. Its totient is φ = 195132288000.

The previous prime is 506443561973. The next prime is 506443562089. The reversal of 506443562000 is 265344605.

It is a happy number.

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, 6438911 + ... + 6517089.

It is an arithmetic number, because the mean of its divisors is an integer number (7939648080).

Almost surely, 2^506443562000 is an apocalyptic number.

506443562000 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 506443562000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635171846400).

506443562000 is an abundant number, since it is smaller than the sum of its proper divisors (763900130800).

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

506443562000 is a wasteful number, since it uses less digits than its factorization.

506443562000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78322 (or 78306 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

The spelling of 506443562000 in words is "five hundred six billion, four hundred forty-three million, five hundred sixty-two thousand".