1288318460520 has 192 divisors, whose sum is σ = 4841812523520. Its totient is φ = 271821021696.

The previous prime is 1288318460491. The next prime is 1288318460531. The reversal of 1288318460520 is 250648138821.

It is a self number, because there is not a number n which added to its sum of digits gives 1288318460520.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8350552 + ... + 8503431.

It is an arithmetic number, because the mean of its divisors is an integer number (25217773560).

Almost surely, 2^{1288318460520} is an apocalyptic number.

1288318460520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1288318460520 is an abundant number, since it is smaller than the sum of its proper divisors (3553494063000).

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

1288318460520 is a wasteful number, since it uses less digits than its factorization.

1288318460520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16854024 (or 16854013 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The spelling of 1288318460520 in words is "one trillion, two hundred eighty-eight billion, three hundred eighteen million, four hundred sixty thousand, five hundred twenty".