579742334511912 has 640 divisors, whose sum is σ = 1912345834291200. Its totient is φ = 161771207270400.

The previous prime is 579742334511883. The next prime is 579742334511913. The reversal of 579742334511912 is 219115433247975.

579742334511912 is a `hidden beast` number, since 5 + 7 + 9 + 7 + 4 + 23 + 3 + 4 + 511 + 91 + 2 = 666.

579742334511912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×579742334511912² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 579742334511912.

It is not an unprimeable number, because it can be changed into a prime (579742334511913) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 70777963737 + ... + 70777971927.

It is an arithmetic number, because the mean of its divisors is an integer number (2988040366080).

Almost surely, 2^{579742334511912} is an apocalyptic number.

579742334511912 is a gapful number since it is divisible by the number (52) 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 579742334511912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956172917145600).

579742334511912 is an abundant number, since it is smaller than the sum of its proper divisors (1332603499779288).

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

579742334511912 is a wasteful number, since it uses less digits than its factorization.

579742334511912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9999 (or 9986 counting only the distinct ones).

The product of its digits is 57153600, while the sum is 63.

The spelling of 579742334511912 in words is "five hundred seventy-nine trillion, seven hundred forty-two billion, three hundred thirty-four million, five hundred eleven thousand, nine hundred twelve".