542531211200 has 336 divisors, whose sum is σ = 1527287024160. Its totient is φ = 187858944000.

The previous prime is 542531211199. The next prime is 542531211293. The reversal of 542531211200 is 2112135245.

It is a super-2 number, since 2×542531211200² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 542531211200.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 37251920 + ... + 37266480.

Almost surely, 2^542531211200 is an apocalyptic number.

542531211200 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 542531211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763643512080).

542531211200 is an abundant number, since it is smaller than the sum of its proper divisors (984755812960).

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

542531211200 is a wasteful number, since it uses less digits than its factorization.

542531211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14696 (or 14681 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

Adding to 542531211200 its reverse (2112135245), we get a palindrome (544643346445).

The spelling of 542531211200 in words is "five hundred forty-two billion, five hundred thirty-one million, two hundred eleven thousand, two hundred".