506672161016 has 128 divisors (see below), whose sum is σ = 1182943872000. Its totient is φ = 202872700800.

The previous prime is 506672160991. The next prime is 506672161043. The reversal of 506672161016 is 610161276605.

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 31 ways as a sum of consecutive naturals, for example, 2620466 + ... + 2807166.

It is an arithmetic number, because the mean of its divisors is an integer number (9241749000).

Almost surely, 2^506672161016 is an apocalyptic number.

506672161016 is a gapful number since it is divisible by the number (56) 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 506672161016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591471936000).

506672161016 is an abundant number, since it is smaller than the sum of its proper divisors (676271710984).

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

506672161016 is a wasteful number, since it uses less digits than its factorization.

506672161016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186794 (or 186776 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 41.

The spelling of 506672161016 in words is "five hundred six billion, six hundred seventy-two million, one hundred sixty-one thousand, sixteen".