288339264000 has 400 divisors, whose sum is σ = 1074069052056. Its totient is φ = 76889088000.

The previous prime is 288339263999. The next prime is 288339264001. The reversal of 288339264000 is 462933882.

It is an interprime number because it is at equal distance from previous prime (288339263999) and next prime (288339264001).

It can be written as a sum of positive squares in 4 ways, for example, as 25687113984 + 262652150016 = 160272^2 + 512496^2 .

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (288339264001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5156190 + ... + 5211810.

Almost surely, 2^288339264000 is an apocalyptic number.

288339264000 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 288339264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537034526028).

288339264000 is an abundant number, since it is smaller than the sum of its proper divisors (785729788056).

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

288339264000 is an frugal number, since it uses more digits than its factorization.

288339264000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55666 (or 55631 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 288339264000 in words is "two hundred eighty-eight billion, three hundred thirty-nine million, two hundred sixty-four thousand".