506105580288 has 432 divisors, whose sum is σ = 1749152313216. Its totient is φ = 128394362880.

The previous prime is 506105580241. The next prime is 506105580293. The reversal of 506105580288 is 882085501605.

It is a super-2 number, since 2×506105580288² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 47 ways as a sum of consecutive naturals, for example, 17785720 + ... + 17814152.

It is an arithmetic number, because the mean of its divisors is an integer number (4048963688).

Almost surely, 2^506105580288 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 506105580288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874576156608).

506105580288 is an abundant number, since it is smaller than the sum of its proper divisors (1243046732928).

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

506105580288 is a wasteful number, since it uses less digits than its factorization.

506105580288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28520 (or 28499 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 48.

The spelling of 506105580288 in words is "five hundred six billion, one hundred five million, five hundred eighty thousand, two hundred eighty-eight".