288468990000 has 900 divisors, whose sum is σ = 1081912695864. Its totient is φ = 71698176000.

The previous prime is 288468989987. The next prime is 288468990059. The reversal of 288468990000 is 99864882.

It is a tau number, because it is divible by the number of its divisors (900).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 3475529959 + ... + 3475530041.

Almost surely, 2^288468990000 is an apocalyptic number.

288468990000 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 288468990000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540956347932).

288468990000 is an abundant number, since it is smaller than the sum of its proper divisors (793443705864).

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

288468990000 is a wasteful number, since it uses less digits than its factorization.

288468990000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 288468990000 in words is "two hundred eighty-eight billion, four hundred sixty-eight million, nine hundred ninety thousand".