542759916672 has 192 divisors, whose sum is σ = 1646252549760. Its totient is φ = 177953448960.

The previous prime is 542759916659. The next prime is 542759916683. The reversal of 542759916672 is 276619957245.

542759916672 is a `hidden beast` number, since 5 + 4 + 27 + 599 + 16 + 6 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1754313 + ... + 2040375.

It is an arithmetic number, because the mean of its divisors is an integer number (8574232030).

Almost surely, 2^542759916672 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 542759916672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823126274880).

542759916672 is an abundant number, since it is smaller than the sum of its proper divisors (1103492633088).

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

542759916672 is an equidigital number, since it uses as much as digits as its factorization.

542759916672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286153 (or 286129 counting only the distinct ones).

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

The spelling of 542759916672 in words is "five hundred forty-two billion, seven hundred fifty-nine million, nine hundred sixteen thousand, six hundred seventy-two".