287645904000 has 1792 divisors, whose sum is σ = 1324560706560. Its totient is φ = 60466176000.

The previous prime is 287645903989. The next prime is 287645904001. The reversal of 287645904000 is 409546782.

It is a happy number.

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 (287645904001) by changing a digit.

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 223 ways as a sum of consecutive naturals, for example, 1061423865 + ... + 1061424135.

It is an arithmetic number, because the mean of its divisors is an integer number (739152180).

Almost surely, 2^287645904000 is an apocalyptic number.

287645904000 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 287645904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662280353280).

287645904000 is an abundant number, since it is smaller than the sum of its proper divisors (1036914802560).

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

287645904000 is an equidigital number, since it uses as much as digits as its factorization.

287645904000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 287645904000 in words is "two hundred eighty-seven billion, six hundred forty-five million, nine hundred four thousand".