9865780488256 has 189 divisors, whose sum is σ = 25037180619087. Its totient is φ = 3843056743680.

The previous prime is 9865780488253. The next prime is 9865780488269. The reversal of 9865780488256 is 6528840875689.

The square root of 9865780488256 is 3140984.

It is a perfect power (a square), and thus also a powerful number.

It is a Smith number, since the sum of its digits (76) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (9865780488253) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 1934843595 + ... + 1934848693.

Almost surely, 2^{9865780488256} is an apocalyptic number.

9865780488256 is the 3140984-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9865780488256

9865780488256 is an abundant number, since it is smaller than the sum of its proper divisors (15171400130831).

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

9865780488256 is an frugal number, since it uses more digits than its factorization.

9865780488256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10246 (or 5119 counting only the distinct ones).

The product of its (nonzero) digits is 1857945600, while the sum is 76.

The spelling of 9865780488256 in words is "nine trillion, eight hundred sixty-five billion, seven hundred eighty million, four hundred eighty-eight thousand, two hundred fifty-six".