288542066400 has 432 divisors, whose sum is σ = 1213942146480. Its totient is φ = 65952230400.

The previous prime is 288542066387. The next prime is 288542066401. The reversal of 288542066400 is 4660245882.

288542066400 is a `hidden beast` number, since 2 + 8 + 8 + 542 + 0 + 66 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288542066401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 922090 + ... + 1194710.

It is an arithmetic number, because the mean of its divisors is an integer number (2810051265).

Almost surely, 2^288542066400 is an apocalyptic number.

288542066400 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 288542066400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606971073240).

288542066400 is an abundant number, since it is smaller than the sum of its proper divisors (925400080080).

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

288542066400 is a wasteful number, since it uses less digits than its factorization.

288542066400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272664 (or 272638 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 288542066400 in words is "two hundred eighty-eight billion, five hundred forty-two million, sixty-six thousand, four hundred".