288999760896 has 1584 divisors, whose sum is σ = 1147113253440. Its totient is φ = 71530905600.

The previous prime is 288999760873. The next prime is 288999760897. The reversal of 288999760896 is 698067999882.

It is a tau number, because it is divible by the number of its divisors (1584).

It is not an unprimeable number, because it can be changed into a prime (288999760897) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6720924651 + ... + 6720924693.

It is an arithmetic number, because the mean of its divisors is an integer number (724187660).

Almost surely, 2^288999760896 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 288999760896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573556626720).

288999760896 is an abundant number, since it is smaller than the sum of its proper divisors (858113492544).

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

288999760896 is a wasteful number, since it uses less digits than its factorization.

288999760896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 1693052928, while the sum is 81.

The spelling of 288999760896 in words is "two hundred eighty-eight billion, nine hundred ninety-nine million, seven hundred sixty thousand, eight hundred ninety-six".