288752080563648 has 672 divisors, whose sum is σ = 1011401096823936. Its totient is φ = 77823056019456.

The previous prime is 288752080563587. The next prime is 288752080563649. The reversal of 288752080563648 is 846365080257882.

288752080563648 is a `hidden beast` number, since 2 + 8 + 8 + 7 + 5 + 208 + 0 + 56 + 364 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288752080563649) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 106996140 + ... + 109661652.

It is an arithmetic number, because the mean of its divisors is an integer number (1505061155988).

Almost surely, 2^{288752080563648} 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 288752080563648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505700548411968).

288752080563648 is an abundant number, since it is smaller than the sum of its proper divisors (722649016260288).

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

288752080563648 is a wasteful number, since it uses less digits than its factorization.

288752080563648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2665621 (or 2665608 counting only the distinct ones).

The product of its (nonzero) digits is 1238630400, while the sum is 72.

The spelling of 288752080563648 in words is "two hundred eighty-eight trillion, seven hundred fifty-two billion, eighty million, five hundred sixty-three thousand, six hundred forty-eight".