540235120500 has 576 divisors, whose sum is σ = 1889844203520. Its totient is φ = 129220608000.

The previous prime is 540235120487. The next prime is 540235120507. The reversal of 540235120500 is 5021532045.

It is a happy number.

540235120500 is a `hidden beast` number, since 5 + 4 + 0 + 2 + 35 + 120 + 500 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540235120507) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 842800180 + ... + 842800820.

It is an arithmetic number, because the mean of its divisors is an integer number (3280979520).

Almost surely, 2^540235120500 is an apocalyptic number.

540235120500 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 540235120500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944922101760).

540235120500 is an abundant number, since it is smaller than the sum of its proper divisors (1349609083020).

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

540235120500 is a wasteful number, since it uses less digits than its factorization.

540235120500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

Adding to 540235120500 its reverse (5021532045), we get a palindrome (545256652545).

The spelling of 540235120500 in words is "five hundred forty billion, two hundred thirty-five million, one hundred twenty thousand, five hundred".