542242220520 has 512 divisors, whose sum is σ = 2193316392960. Its totient is φ = 103569408000.

The previous prime is 542242220489. The next prime is 542242220543. The reversal of 542242220520 is 25022242245.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 127 ways as a sum of consecutive naturals, for example, 28939555 + ... + 28958285.

It is an arithmetic number, because the mean of its divisors is an integer number (4283821080).

Almost surely, 2^542242220520 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 542242220520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1096658196480).

542242220520 is an abundant number, since it is smaller than the sum of its proper divisors (1651074172440).

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

542242220520 is a wasteful number, since it uses less digits than its factorization.

542242220520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19017 (or 19013 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 30.

Adding to 542242220520 its reverse (25022242245), we get a palindrome (567264462765).

The spelling of 542242220520 in words is "five hundred forty-two billion, two hundred forty-two million, two hundred twenty thousand, five hundred twenty".