542522435200 has 48 divisors (see below), whose sum is σ = 1340199961110. Its totient is φ = 217008972800.

The previous prime is 542522435179. The next prime is 542522435209. The reversal of 542522435200 is 2534225245.

It can be written as a sum of positive squares in 3 ways, for example, as 473024821824 + 69497613376 = 687768^2 + 263624^2 .

It is not an unprimeable number, because it can be changed into a prime (542522435209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 84765931 + ... + 84772330.

Almost surely, 2^542522435200 is an apocalyptic number.

542522435200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

542522435200 is an abundant number, since it is smaller than the sum of its proper divisors (797677525910).

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

542522435200 is a wasteful number, since it uses less digits than its factorization.

542522435200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169538285 (or 169538268 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 34.

The spelling of 542522435200 in words is "five hundred forty-two billion, five hundred twenty-two million, four hundred thirty-five thousand, two hundred".