542942287200 has 1008 divisors, whose sum is σ = 2196584472096. Its totient is φ = 130288435200.

The previous prime is 542942287187. The next prime is 542942287243. The reversal of 542942287200 is 2782249245.

542942287200 is a `hidden beast` number, since 542 + 9 + 4 + 2 + 2 + 87 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 228030010 + ... + 228032390.

It is an arithmetic number, because the mean of its divisors is an integer number (2179151262).

Almost surely, 2^542942287200 is an apocalyptic number.

542942287200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542942287200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1098292236048).

542942287200 is an abundant number, since it is smaller than the sum of its proper divisors (1653642184896).

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

542942287200 is a wasteful number, since it uses less digits than its factorization.

542942287200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2459 (or 2431 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 542942287200 in words is "five hundred forty-two billion, nine hundred forty-two million, two hundred eighty-seven thousand, two hundred".