540113059584 has 864 divisors, whose sum is σ = 1965749793280. Its totient is φ = 144473849856.

The previous prime is 540113059553. The next prime is 540113059601. The reversal of 540113059584 is 485950311045.

It is a happy number.

540113059584 is a `hidden beast` number, since 5 + 4 + 0 + 1 + 13 + 0 + 59 + 584 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 802545072 + ... + 802545744.

Almost surely, 2^540113059584 is an apocalyptic number.

540113059584 is a gapful number since it is divisible by the number (54) 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 540113059584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982874896640).

540113059584 is an abundant number, since it is smaller than the sum of its proper divisors (1425636733696).

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

540113059584 is an equidigital number, since it uses as much as digits as its factorization.

540113059584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 540113059584 in words is "five hundred forty billion, one hundred thirteen million, fifty-nine thousand, five hundred eighty-four".