500056561664 has 192 divisors, whose sum is σ = 1141243084800. Its totient is φ = 217017548800.

The previous prime is 500056561663. The next prime is 500056561673. The reversal of 500056561664 is 466165650005.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (500056561661) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43405697 + ... + 43417215.

It is an arithmetic number, because the mean of its divisors is an integer number (5943974400).

Almost surely, 2^500056561664 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 500056561664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570621542400).

500056561664 is an abundant number, since it is smaller than the sum of its proper divisors (641186523136).

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

500056561664 is a wasteful number, since it uses less digits than its factorization.

500056561664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11640 (or 11620 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 44.

The spelling of 500056561664 in words is "five hundred billion, fifty-six million, five hundred sixty-one thousand, six hundred sixty-four".