540355088480256 has 864 divisors, whose sum is σ = 1839816318412800. Its totient is φ = 152317507829760.

The previous prime is 540355088480189. The next prime is 540355088480309. The reversal of 540355088480256 is 652084880553045.

540355088480256 is a `hidden beast` number, since 5 + 4 + 0 + 3 + 5 + 50 + 88 + 480 + 25 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 540355088480193 and 540355088480202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 147195609301 + ... + 147195612971.

It is an arithmetic number, because the mean of its divisors is an integer number (2129417035200).

Almost surely, 2^{540355088480256} is an apocalyptic number.

540355088480256 is a gapful number since it is divisible by the number (56) 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 540355088480256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919908159206400).

540355088480256 is an abundant number, since it is smaller than the sum of its proper divisors (1299461229932544).

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

540355088480256 is a wasteful number, since it uses less digits than its factorization.

540355088480256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5855 (or 5825 counting only the distinct ones).

The product of its (nonzero) digits is 184320000, while the sum is 63.

The spelling of 540355088480256 in words is "five hundred forty trillion, three hundred fifty-five billion, eighty-eight million, four hundred eighty thousand, two hundred fifty-six".