540070120800000 has 7776 divisors, whose sum is σ = 2589807081738240. Its totient is φ = 107296358400000.

The previous prime is 540070120799849. The next prime is 540070120800013. The reversal of 540070120800000 is 8021070045.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 4779381599944 + ... + 4779381600056.

It is an arithmetic number, because the mean of its divisors is an integer number (333051322240).

Almost surely, 2^{540070120800000} is an apocalyptic number.

540070120800000 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 540070120800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1294903540869120).

540070120800000 is an abundant number, since it is smaller than the sum of its proper divisors (2049736960938240).

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

540070120800000 is a wasteful number, since it uses less digits than its factorization.

540070120800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

Adding to 540070120800000 its reverse (8021070045), we get a palindrome (540078141870045).

The spelling of 540070120800000 in words is "five hundred forty trillion, seventy billion, one hundred twenty million, eight hundred thousand".