542243627520 has 960 divisors, whose sum is σ = 2123244389376. Its totient is φ = 117546024960.

The previous prime is 542243627461. The next prime is 542243627521. The reversal of 542243627520 is 25726342245.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (542243627521) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 618293322 + ... + 618294198.

Almost surely, 2^542243627520 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 542243627520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061622194688).

542243627520 is an abundant number, since it is smaller than the sum of its proper divisors (1581000761856).

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

542243627520 is a wasteful number, since it uses less digits than its factorization.

542243627520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 42.

Adding to 542243627520 its reverse (25726342245), we get a palindrome (567969969765).

The spelling of 542243627520 in words is "five hundred forty-two billion, two hundred forty-three million, six hundred twenty-seven thousand, five hundred twenty".