542493278208 has 768 divisors, whose sum is σ = 1897474176000. Its totient is φ = 149131100160.

The previous prime is 542493278203. The next prime is 542493278209. The reversal of 542493278208 is 802872394245.

542493278208 is a `hidden beast` number, since 5 + 424 + 9 + 3 + 2 + 7 + 8 + 208 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is not an unprimeable number, because it can be changed into a prime (542493278203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3135799210 + ... + 3135799382.

It is an arithmetic number, because the mean of its divisors is an integer number (2470669500).

Almost surely, 2^542493278208 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 542493278208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948737088000).

542493278208 is an abundant number, since it is smaller than the sum of its proper divisors (1354980897792).

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

542493278208 is an equidigital number, since it uses as much as digits as its factorization.

542493278208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 542493278208 in words is "five hundred forty-two billion, four hundred ninety-three million, two hundred seventy-eight thousand, two hundred eight".