559934312772 has 192 divisors, whose sum is σ = 1491717427200. Its totient is φ = 162367027200.

The previous prime is 559934312719. The next prime is 559934312801. The reversal of 559934312772 is 277213439955.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 238167397 + ... + 238169747.

It is an arithmetic number, because the mean of its divisors is an integer number (7769361600).

Almost surely, 2^559934312772 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 559934312772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745858713600).

559934312772 is an abundant number, since it is smaller than the sum of its proper divisors (931783114428).

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

559934312772 is a wasteful number, since it uses less digits than its factorization.

559934312772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3866 (or 3864 counting only the distinct ones).

The product of its digits is 14288400, while the sum is 57.

The spelling of 559934312772 in words is "five hundred fifty-nine billion, nine hundred thirty-four million, three hundred twelve thousand, seven hundred seventy-two".