540706885056 has 672 divisors, whose sum is σ = 1770629529600. Its totient is φ = 161676103680.

The previous prime is 540706885039. The next prime is 540706885123. The reversal of 540706885056 is 650588607045.

540706885056 is a `hidden beast` number, since 5 + 4 + 0 + 70 + 68 + 8 + 505 + 6 = 666.

It is a super-2 number, since 2×540706885056² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 540706884993 and 540706885011.

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 95 ways as a sum of consecutive naturals, for example, 2262371785 + ... + 2262372023.

Almost surely, 2^540706885056 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 540706885056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885314764800).

540706885056 is an abundant number, since it is smaller than the sum of its proper divisors (1229922644544).

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

540706885056 is a wasteful number, since it uses less digits than its factorization.

540706885056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 540706885056 in words is "five hundred forty billion, seven hundred six million, eight hundred eighty-five thousand, fifty-six".