540054556160 has 320 divisors, whose sum is σ = 1497915555840. Its totient is φ = 182914744320.

The previous prime is 540054556157. The next prime is 540054556177. The reversal of 540054556160 is 61655450045.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 817026230 + ... + 817026890.

It is an arithmetic number, because the mean of its divisors is an integer number (4680986112).

Almost surely, 2^540054556160 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 540054556160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748957777920).

540054556160 is an abundant number, since it is smaller than the sum of its proper divisors (957860999680).

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

540054556160 is a wasteful number, since it uses less digits than its factorization.

540054556160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 41.

The spelling of 540054556160 in words is "five hundred forty billion, fifty-four million, five hundred fifty-six thousand, one hundred sixty".