542858208768 has 480 divisors, whose sum is σ = 1768663881600. Its totient is φ = 163933507584.

The previous prime is 542858208743. The next prime is 542858208799. The reversal of 542858208768 is 867802858245.

542858208768 is a `hidden beast` number, since 5 + 42 + 8 + 582 + 0 + 8 + 7 + 6 + 8 = 666.

542858208768 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 138943071 + ... + 138946977.

It is an arithmetic number, because the mean of its divisors is an integer number (3684716420).

Almost surely, 2^542858208768 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 542858208768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884331940800).

542858208768 is an abundant number, since it is smaller than the sum of its proper divisors (1225805672832).

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

542858208768 is a wasteful number, since it uses less digits than its factorization.

542858208768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3999 (or 3954 counting only the distinct ones).

The product of its (nonzero) digits is 68812800, while the sum is 63.

The spelling of 542858208768 in words is "five hundred forty-two billion, eight hundred fifty-eight million, two hundred eight thousand, seven hundred sixty-eight".