287345880000 has 700 divisors, whose sum is σ = 1074097609992. Its totient is φ = 75928320000.

The previous prime is 287345879941. The next prime is 287345880083. The reversal of 287345880000 is 88543782.

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

It is a congruent number.

It is an unprimeable number.

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 99 ways as a sum of consecutive naturals, for example, 424439662 + ... + 424440338.

Almost surely, 2^287345880000 is an apocalyptic number.

287345880000 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 287345880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537048804996).

287345880000 is an abundant number, since it is smaller than the sum of its proper divisors (786751729992).

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

287345880000 is an equidigital number, since it uses as much as digits as its factorization.

287345880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 287345880000 in words is "two hundred eighty-seven billion, three hundred forty-five million, eight hundred eighty thousand".