506811561984 has 1728 divisors, whose sum is σ = 2035392952320. Its totient is φ = 122544783360.

The previous prime is 506811561967. The next prime is 506811562013. The reversal of 506811561984 is 489165118605.

506811561984 is a `hidden beast` number, since 5 + 0 + 6 + 8 + 1 + 15 + 619 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a self number, because there is not a number n which added to its sum of digits gives 506811561984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16348760049 + ... + 16348760079.

It is an arithmetic number, because the mean of its divisors is an integer number (1177889440).

Almost surely, 2^506811561984 is an apocalyptic number.

506811561984 is a gapful number since it is divisible by the number (54) 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 506811561984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1017696476160).

506811561984 is an abundant number, since it is smaller than the sum of its proper divisors (1528581390336).

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

506811561984 is a wasteful number, since it uses less digits than its factorization.

506811561984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 54.

The spelling of 506811561984 in words is "five hundred six billion, eight hundred eleven million, five hundred sixty-one thousand, nine hundred eighty-four".