540666176021300 has 144 divisors (see below), whose sum is σ = 1348216331632128. Its totient is φ = 184355622604800.

The previous prime is 540666176021297. The next prime is 540666176021353. The reversal of 540666176021300 is 3120671666045.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103104452 + ... + 108221348.

It is an arithmetic number, because the mean of its divisors is an integer number (9362613414112).

Almost surely, 2^{540666176021300} is an apocalyptic number.

540666176021300 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 540666176021300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674108165816064).

540666176021300 is an abundant number, since it is smaller than the sum of its proper divisors (807550155610828).

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

540666176021300 is a wasteful number, since it uses less digits than its factorization.

540666176021300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5117746 (or 5117739 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 47.

The spelling of 540666176021300 in words is "five hundred forty trillion, six hundred sixty-six billion, one hundred seventy-six million, twenty-one thousand, three hundred".