506289994560 has 1344 divisors, whose sum is σ = 2143251382272. Its totient is φ = 111365259264.

The previous prime is 506289994549. The next prime is 506289994577. The reversal of 506289994560 is 65499982605.

506289994560 is a `hidden beast` number, since 5 + 0 + 62 + 8 + 9 + 9 + 9 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2270358609 + ... + 2270358831.

It is an arithmetic number, because the mean of its divisors is an integer number (1594681088).

Almost surely, 2^506289994560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506289994560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071625691136).

506289994560 is an abundant number, since it is smaller than the sum of its proper divisors (1636961387712).

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

506289994560 is a wasteful number, since it uses less digits than its factorization.

506289994560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 63.

The spelling of 506289994560 in words is "five hundred six billion, two hundred eighty-nine million, nine hundred ninety-four thousand, five hundred sixty".