287873955072 has 288 divisors, whose sum is σ = 935399808000. Its totient is φ = 86603765760.

The previous prime is 287873955059. The next prime is 287873955113. The reversal of 287873955072 is 270559378782.

287873955072 is a `hidden beast` number, since 2 + 8 + 7 + 8 + 7 + 3 + 9 + 550 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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 31 ways as a sum of consecutive naturals, for example, 10554829 + ... + 10582067.

It is an arithmetic number, because the mean of its divisors is an integer number (3247916000).

Almost surely, 2^287873955072 is an apocalyptic number.

287873955072 is a gapful number since it is divisible by the number (22) 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 287873955072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467699904000).

287873955072 is an abundant number, since it is smaller than the sum of its proper divisors (647525852928).

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

287873955072 is a wasteful number, since it uses less digits than its factorization.

287873955072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27414 (or 27394 counting only the distinct ones).

The product of its (nonzero) digits is 59270400, while the sum is 63.

The spelling of 287873955072 in words is "two hundred eighty-seven billion, eight hundred seventy-three million, nine hundred fifty-five thousand, seventy-two".