542003218020 has 192 divisors, whose sum is σ = 1840509216000. Its totient is φ = 131324497920.

The previous prime is 542003217979. The next prime is 542003218037. The reversal of 542003218020 is 20812300245.

542003218020 is a `hidden beast` number, since 5 + 420 + 0 + 3 + 218 + 0 + 20 = 666.

542003218020 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11553652 + ... + 11600468.

It is an arithmetic number, because the mean of its divisors is an integer number (9585985500).

Almost surely, 2^542003218020 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 542003218020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (920254608000).

542003218020 is an abundant number, since it is smaller than the sum of its proper divisors (1298505997980).

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

542003218020 is a wasteful number, since it uses less digits than its factorization.

542003218020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48795 (or 48787 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 542003218020 its reverse (20812300245), we get a palindrome (562815518265).

The spelling of 542003218020 in words is "five hundred forty-two billion, three million, two hundred eighteen thousand, twenty".