540514058166 has 96 divisors (see below), whose sum is σ = 1254297477888. Its totient is φ = 167622451200.

The previous prime is 540514058153. The next prime is 540514058197. The reversal of 540514058166 is 661850415045.

540514058166 is a `hidden beast` number, since 5 + 4 + 0 + 5 + 1 + 4 + 0 + 581 + 66 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25605016 + ... + 25626116.

It is an arithmetic number, because the mean of its divisors is an integer number (13065598728).

Almost surely, 2^540514058166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540514058166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627148738944).

540514058166 is an abundant number, since it is smaller than the sum of its proper divisors (713783419722).

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

540514058166 is a wasteful number, since it uses less digits than its factorization.

540514058166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22086 (or 22083 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 540514058166 in words is "five hundred forty billion, five hundred fourteen million, fifty-eight thousand, one hundred sixty-six".