540206155307520 has 3200 divisors, whose sum is σ = 2239929635328000. Its totient is φ = 124152755650560.

The previous prime is 540206155307503. The next prime is 540206155307521. The reversal of 540206155307520 is 25703551602045.

It is a happy number.

540206155307520 is a `hidden beast` number, since 5 + 4 + 0 + 2 + 0 + 6 + 1 + 553 + 0 + 75 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (540206155307521) 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 319 ways as a sum of consecutive naturals, for example, 409557357421 + ... + 409557358739.

It is an arithmetic number, because the mean of its divisors is an integer number (699978011040).

Almost surely, 2^{540206155307520} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540206155307520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1119964817664000).

540206155307520 is an abundant number, since it is smaller than the sum of its proper divisors (1699723480020480).

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

540206155307520 is a wasteful number, since it uses less digits than its factorization.

540206155307520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1453 (or 1402 counting only the distinct ones).

The product of its (nonzero) digits is 1260000, while the sum is 45.

The spelling of 540206155307520 in words is "five hundred forty trillion, two hundred six billion, one hundred fifty-five million, three hundred seven thousand, five hundred twenty".