287422304463360 has 1280 divisors, whose sum is σ = 1130776905646080. Its totient is φ = 68621734379520.

The previous prime is 287422304463271. The next prime is 287422304463361. The reversal of 287422304463360 is 63364403224782.

287422304463360 is a `hidden beast` number, since 2 + 8 + 7 + 4 + 2 + 230 + 4 + 46 + 3 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×287422304463360² (a number of 30 digits) contains 22 as substring.

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 = 287422304463297 and 287422304463306.

It is not an unprimeable number, because it can be changed into a prime (287422304463361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13228796817 + ... + 13228818543.

It is an arithmetic number, because the mean of its divisors is an integer number (883419457536).

Almost surely, 2^{287422304463360} is an apocalyptic number.

287422304463360 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 287422304463360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565388452823040).

287422304463360 is an abundant number, since it is smaller than the sum of its proper divisors (843354601182720).

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

287422304463360 is a wasteful number, since it uses less digits than its factorization.

287422304463360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22034 (or 22012 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 54.

The spelling of 287422304463360 in words is "two hundred eighty-seven trillion, four hundred twenty-two billion, three hundred four million, four hundred sixty-three thousand, three hundred sixty".