542032305220 has 288 divisors, whose sum is σ = 1363257133056. Its totient is φ = 180452966400.

The previous prime is 542032305211. The next prime is 542032305229. The reversal of 542032305220 is 22503230245.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (542032305211) and next prime (542032305229).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (542032305229) 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 95 ways as a sum of consecutive naturals, for example, 2430638029 + ... + 2430638251.

It is an arithmetic number, because the mean of its divisors is an integer number (4733531712).

Almost surely, 2^542032305220 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 542032305220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681628566528).

542032305220 is an abundant number, since it is smaller than the sum of its proper divisors (821224827836).

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

542032305220 is a wasteful number, since it uses less digits than its factorization.

542032305220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 28.

Adding to 542032305220 its reverse (22503230245), we get a palindrome (564535535465).

The spelling of 542032305220 in words is "five hundred forty-two billion, thirty-two million, three hundred five thousand, two hundred twenty".