542431662213200 has 60 divisors (see below), whose sum is σ = 1327780598112828. Its totient is φ = 212878841011200.

The previous prime is 542431662213169. The next prime is 542431662213211. The reversal of 542431662213200 is 2312266134245.

It can be written as a sum of positive squares in 6 ways, for example, as 57527127992896 + 484904534220304 = 7584664^2 + 22020548^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12793178381 + ... + 12793220780.

Almost surely, 2^{542431662213200} is an apocalyptic number.

542431662213200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

542431662213200 is an abundant number, since it is smaller than the sum of its proper divisors (785348935899628).

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

542431662213200 is a wasteful number, since it uses less digits than its factorization.

542431662213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25586399232 (or 25586399221 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 41.

The spelling of 542431662213200 in words is "five hundred forty-two trillion, four hundred thirty-one billion, six hundred sixty-two million, two hundred thirteen thousand, two hundred".