288468936000 has 1344 divisors, whose sum is σ = 1223906112000. Its totient is φ = 63501926400.

The previous prime is 288468935971. The next prime is 288468936013. The reversal of 288468936000 is 639864882.

288468936000 is a `hidden beast` number, since 28 + 8 + 4 + 6 + 8 + 9 + 3 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2646503946 + ... + 2646504054.

Almost surely, 2^288468936000 is an apocalyptic number.

288468936000 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 288468936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611953056000).

288468936000 is an abundant number, since it is smaller than the sum of its proper divisors (935437176000).

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

288468936000 is a wasteful number, since it uses less digits than its factorization.

288468936000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 288468936000 in words is "two hundred eighty-eight billion, four hundred sixty-eight million, nine hundred thirty-six thousand".