1288304379180 has 864 divisors, whose sum is σ = 5274648637440. Its totient is φ = 247548026880.

The previous prime is 1288304379161. The next prime is 1288304379223. The reversal of 1288304379180 is 819734038821.

It is a happy number.

1288304379180 is a `hidden beast` number, since 1 + 28 + 8 + 3 + 0 + 437 + 9 + 180 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 146744031 + ... + 146752809.

Almost surely, 2^{1288304379180} is an apocalyptic number.

1288304379180 is a gapful number since it is divisible by the number (10) 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 1288304379180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2637324318720).

1288304379180 is an abundant number, since it is smaller than the sum of its proper divisors (3986344258260).

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

1288304379180 is a wasteful number, since it uses less digits than its factorization.

1288304379180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8879 (or 8857 counting only the distinct ones).

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

The spelling of 1288304379180 in words is "one trillion, two hundred eighty-eight billion, three hundred four million, three hundred seventy-nine thousand, one hundred eighty".