540052040000 has 210 divisors, whose sum is σ = 1471975349922. Its totient is φ = 196380800000.

The previous prime is 540052039927. The next prime is 540052040119. The reversal of 540052040000 is 40250045.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 46787420416 + 493264619584 = 216304^2 + 702328^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4784210 + ... + 4895790.

Almost surely, 2^540052040000 is an apocalyptic number.

540052040000 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 540052040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735987674961).

540052040000 is an abundant number, since it is smaller than the sum of its proper divisors (931923309922).

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

540052040000 is a wasteful number, since it uses less digits than its factorization.

540052040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111635 (or 111599 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

Adding to 540052040000 its reverse (40250045), we get a palindrome (540092290045).

The spelling of 540052040000 in words is "five hundred forty billion, fifty-two million, forty thousand".