288256320000 has 1200 divisors, whose sum is σ = 1179576189792. Its totient is φ = 69672960000.

The previous prime is 288256319947. The next prime is 288256320031. The reversal of 288256320000 is 23652882.

288256320000 is a `hidden beast` number, since 2 + 88 + 256 + 320 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 855359832 + ... + 855360168.

Almost surely, 2^288256320000 is an apocalyptic number.

288256320000 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 288256320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589788094896).

288256320000 is an abundant number, since it is smaller than the sum of its proper divisors (891319869792).

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

288256320000 is an frugal number, since it uses more digits than its factorization.

288256320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 288256320000 its reverse (23652882), we get a palindrome (288279972882).

The spelling of 288256320000 in words is "two hundred eighty-eight billion, two hundred fifty-six million, three hundred twenty thousand".