288430080000 has 600 divisors, whose sum is σ = 988837283280. Its totient is φ = 74711040000.

The previous prime is 288430079939. The next prime is 288430080031. The reversal of 288430080000 is 80034882.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×288430080000² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1259519886 + ... + 1259520114.

Almost surely, 2^288430080000 is an apocalyptic number.

288430080000 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 288430080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494418641640).

288430080000 is an abundant number, since it is smaller than the sum of its proper divisors (700407203280).

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

288430080000 is an frugal number, since it uses more digits than its factorization.

288430080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The spelling of 288430080000 in words is "two hundred eighty-eight billion, four hundred thirty million, eighty thousand".