540096883326 has 576 divisors, whose sum is σ = 1701004032000. Its totient is φ = 122636384640.

The previous prime is 540096883289. The next prime is 540096883343. The reversal of 540096883326 is 623388690045.

540096883326 is a `hidden beast` number, since 540 + 0 + 9 + 68 + 8 + 3 + 32 + 6 = 666.

540096883326 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 184520875 + ... + 184523801.

It is an arithmetic number, because the mean of its divisors is an integer number (2953132000).

Almost surely, 2^540096883326 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540096883326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850502016000).

540096883326 is an abundant number, since it is smaller than the sum of its proper divisors (1160907148674).

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

540096883326 is a wasteful number, since it uses less digits than its factorization.

540096883326 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3010 (or 2982 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 540096883326 in words is "five hundred forty billion, ninety-six million, eight hundred eighty-three thousand, three hundred twenty-six".