288049420800 has 720 divisors, whose sum is σ = 1078627630080. Its totient is φ = 73322496000.

The previous prime is 288049420753. The next prime is 288049420817. The reversal of 288049420800 is 8024940882.

It is a happy number.

288049420800 is a `hidden beast` number, since 2 + 8 + 80 + 494 + 2 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 282124290 + ... + 282125310.

Almost surely, 2^288049420800 is an apocalyptic number.

288049420800 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 288049420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539313815040).

288049420800 is an abundant number, since it is smaller than the sum of its proper divisors (790578209280).

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

288049420800 is a wasteful number, since it uses less digits than its factorization.

288049420800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 288049420800 in words is "two hundred eighty-eight billion, forty-nine million, four hundred twenty thousand, eight hundred".