288888516545408 has 128 divisors (see below), whose sum is σ = 625205097431040. Its totient is φ = 132170214758400.

The previous prime is 288888516545389. The next prime is 288888516545411. The reversal of 288888516545408 is 804545615888882.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 246881393 + ... + 248048783.

It is an arithmetic number, because the mean of its divisors is an integer number (4884414823680).

Almost surely, 2^{288888516545408} 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 288888516545408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312602548715520).

288888516545408 is an abundant number, since it is smaller than the sum of its proper divisors (336316580885632).

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

288888516545408 is a wasteful number, since it uses less digits than its factorization.

288888516545408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1168716 (or 1168704 counting only the distinct ones).

The product of its (nonzero) digits is 6291456000, while the sum is 80.

The spelling of 288888516545408 in words is "two hundred eighty-eight trillion, eight hundred eighty-eight billion, five hundred sixteen million, five hundred forty-five thousand, four hundred eight".