288820735680 has 448 divisors, whose sum is σ = 985522032000. Its totient is φ = 71408812032.

The previous prime is 288820735627. The next prime is 288820735681. The reversal of 288820735680 is 86537028882.

It is a happy number.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 288820735680.

It is not an unprimeable number, because it can be changed into a prime (288820735681) 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 63 ways as a sum of consecutive naturals, for example, 407363166 + ... + 407363874.

Almost surely, 2^288820735680 is an apocalyptic number.

288820735680 is a gapful number since it is divisible by the number (20) 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 288820735680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492761016000).

288820735680 is an abundant number, since it is smaller than the sum of its proper divisors (696701296320).

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

288820735680 is a wasteful number, since it uses less digits than its factorization.

288820735680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 57.

The spelling of 288820735680 in words is "two hundred eighty-eight billion, eight hundred twenty million, seven hundred thirty-five thousand, six hundred eighty".