540533203320000 has 560 divisors, whose sum is σ = 1949888191046400. Its totient is φ = 131018657280000.

The previous prime is 540533203319987. The next prime is 540533203320023. The reversal of 540533203320000 is 23302335045.

It is a super-2 number, since 2×540533203320000² (a number of 30 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 540533203320000.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10017453021 + ... + 10017506979.

Almost surely, 2^{540533203320000} is an apocalyptic number.

540533203320000 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 540533203320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (974944095523200).

540533203320000 is an abundant number, since it is smaller than the sum of its proper divisors (1409354987726400).

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

540533203320000 is a wasteful number, since it uses less digits than its factorization.

540533203320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61594 (or 61569 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 30.

Adding to 540533203320000 its reverse (23302335045), we get a palindrome (540556505655045).

The spelling of 540533203320000 in words is "five hundred forty trillion, five hundred thirty-three billion, two hundred three million, three hundred twenty thousand".