540629805205080 has 768 divisors, whose sum is σ = 1891300647075840. Its totient is φ = 133726215168000.

The previous prime is 540629805205079. The next prime is 540629805205093. The reversal of 540629805205080 is 80502508926045.

540629805205080 is a `hidden beast` number, since 5 + 4 + 0 + 6 + 2 + 9 + 80 + 52 + 0 + 508 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 4271967805 + ... + 4272094355.

It is an arithmetic number, because the mean of its divisors is an integer number (2462631050880).

Almost surely, 2^{540629805205080} 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 540629805205080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (945650323537920).

540629805205080 is an abundant number, since it is smaller than the sum of its proper divisors (1350670841870760).

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

540629805205080 is a wasteful number, since it uses less digits than its factorization.

540629805205080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126832 (or 126825 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 540629805205080 in words is "five hundred forty trillion, six hundred twenty-nine billion, eight hundred five million, two hundred five thousand, eighty".