1288790275140 has 36 divisors (see below), whose sum is σ = 3909330501804. Its totient is φ = 343677406656.

The previous prime is 1288790275127. The next prime is 1288790275187. The reversal of 1288790275140 is 415720978821.

1288790275140 is a `hidden beast` number, since 1 + 28 + 87 + 9 + 0 + 27 + 514 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 418435621956 + 870354653184 = 646866^2 + 932928^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 11 ways as a sum of consecutive naturals, for example, 3579972807 + ... + 3579973166.

It is an arithmetic number, because the mean of its divisors is an integer number (108592513939).

Almost surely, 2^{1288790275140} is an apocalyptic number.

1288790275140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1288790275140 is an abundant number, since it is smaller than the sum of its proper divisors (2620540226664).

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

1288790275140 is a wasteful number, since it uses less digits than its factorization.

1288790275140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7159945988 (or 7159945983 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 1288790275140 in words is "one trillion, two hundred eighty-eight billion, seven hundred ninety million, two hundred seventy-five thousand, one hundred forty".