540022504533000 has 256 divisors, whose sum is σ = 1687409641981440. Its totient is φ = 143789120640000.

The previous prime is 540022504532947. The next prime is 540022504533011. The reversal of 540022504533000 is 335405220045.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5392032925 + ... + 5392133075.

It is an arithmetic number, because the mean of its divisors is an integer number (6591443913990).

Almost surely, 2^{540022504533000} is an apocalyptic number.

540022504533000 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 540022504533000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843704820990720).

540022504533000 is an abundant number, since it is smaller than the sum of its proper divisors (1147387137448440).

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

540022504533000 is a wasteful number, since it uses less digits than its factorization.

540022504533000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102865 (or 102851 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 33.

Adding to 540022504533000 its reverse (335405220045), we get a palindrome (540357909753045).

The spelling of 540022504533000 in words is "five hundred forty trillion, twenty-two billion, five hundred four million, five hundred thirty-three thousand".