506240950068000 has 3456 divisors, whose sum is σ = 2198153740124160. Its totient is φ = 108017515008000.

The previous prime is 506240950067899. The next prime is 506240950068019. The reversal of 506240950068000 is 860059042605.

506240950068000 is a `hidden beast` number, since 5 + 0 + 62 + 4 + 0 + 9 + 500 + 6 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 899184635719 + ... + 899184636281.

It is an arithmetic number, because the mean of its divisors is an integer number (636039855360).

Almost surely, 2^{506240950068000} is an apocalyptic number.

506240950068000 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 506240950068000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1099076870062080).

506240950068000 is an abundant number, since it is smaller than the sum of its proper divisors (1691912790056160).

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

506240950068000 is a wasteful number, since it uses less digits than its factorization.

506240950068000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 506240950068000 in words is "five hundred six trillion, two hundred forty billion, nine hundred fifty million, sixty-eight thousand".