287889230160 has 480 divisors, whose sum is σ = 1171073975040. Its totient is φ = 63677352960.

The previous prime is 287889230159. The next prime is 287889230207. The reversal of 287889230160 is 61032988782.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 287889230097 and 287889230106.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 14520414 + ... + 14540226.

It is an arithmetic number, because the mean of its divisors is an integer number (2439737448).

Almost surely, 2^287889230160 is an apocalyptic number.

287889230160 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 287889230160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585536987520).

287889230160 is an abundant number, since it is smaller than the sum of its proper divisors (883184744880).

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

287889230160 is a wasteful number, since it uses less digits than its factorization.

287889230160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19904 (or 19861 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 287889230160 in words is "two hundred eighty-seven billion, eight hundred eighty-nine million, two hundred thirty thousand, one hundred sixty".