506442792960 has 1440 divisors, whose sum is σ = 2083918287360. Its totient is φ = 116955021312.

The previous prime is 506442792923. The next prime is 506442792967. The reversal of 506442792960 is 69297244605.

506442792960 is a `hidden beast` number, since 50 + 6 + 442 + 7 + 92 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×506442792960² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 506442792897 and 506442792906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506442792967) 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 95 ways as a sum of consecutive naturals, for example, 4916920269 + ... + 4916920371.

Almost surely, 2^506442792960 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 506442792960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041959143680).

506442792960 is an abundant number, since it is smaller than the sum of its proper divisors (1577475494400).

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

506442792960 is a wasteful number, since it uses less digits than its factorization.

506442792960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 506442792960 in words is "five hundred six billion, four hundred forty-two million, seven hundred ninety-two thousand, nine hundred sixty".