287853940000 has 240 divisors, whose sum is σ = 779446372320. Its totient is φ = 103738880000.

The previous prime is 287853939983. The next prime is 287853940007. The reversal of 287853940000 is 49358782.

It is not an unprimeable number, because it can be changed into a prime (287853940007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24854211 + ... + 24865789.

It is an arithmetic number, because the mean of its divisors is an integer number (3247693218).

Almost surely, 2^287853940000 is an apocalyptic number.

287853940000 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 287853940000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389723186160).

287853940000 is an abundant number, since it is smaller than the sum of its proper divisors (491592432320).

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

287853940000 is a wasteful number, since it uses less digits than its factorization.

287853940000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11733 (or 11710 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 46.

The spelling of 287853940000 in words is "two hundred eighty-seven billion, eight hundred fifty-three million, nine hundred forty thousand".