540165664523200 has 168 divisors, whose sum is σ = 1330319229120000. Its totient is φ = 215875469429760.

The previous prime is 540165664523129. The next prime is 540165664523227. The reversal of 540165664523200 is 2325466561045.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12421291857 + ... + 12421335343.

It is an arithmetic number, because the mean of its divisors is an integer number (7918566840000).

Almost surely, 2^{540165664523200} is an apocalyptic number.

540165664523200 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 540165664523200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665159614560000).

540165664523200 is an abundant number, since it is smaller than the sum of its proper divisors (790153564596800).

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

540165664523200 is a wasteful number, since it uses less digits than its factorization.

540165664523200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50187 (or 50172 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 49.

The spelling of 540165664523200 in words is "five hundred forty trillion, one hundred sixty-five billion, six hundred sixty-four million, five hundred twenty-three thousand, two hundred".