540731056320 has 1344 divisors, whose sum is σ = 2515975257600. Its totient is φ = 108062760960.

The previous prime is 540731056273. The next prime is 540731056337. The reversal of 540731056320 is 23650137045.

540731056320 is a `hidden beast` number, since 5 + 4 + 0 + 7 + 3 + 10 + 5 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 104567335 + ... + 104572505.

It is an arithmetic number, because the mean of its divisors is an integer number (1872005400).

Almost surely, 2^540731056320 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 540731056320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257987628800).

540731056320 is an abundant number, since it is smaller than the sum of its proper divisors (1975244201280).

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

540731056320 is a wasteful number, since it uses less digits than its factorization.

540731056320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5243 (or 5220 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 540731056320 in words is "five hundred forty billion, seven hundred thirty-one million, fifty-six thousand, three hundred twenty".