1288544661560 has 128 divisors (see below), whose sum is σ = 3239855055360. Its totient is φ = 458160192000.

The previous prime is 1288544661497. The next prime is 1288544661587. The reversal of 1288544661560 is 651664458821.

It is a junction number, because it is equal to n+sod(n) for n = 1288544661496 and 1288544661505.

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, 1181735 + ... + 1993385.

It is an arithmetic number, because the mean of its divisors is an integer number (25311367620).

Almost surely, 2^{1288544661560} is an apocalyptic number.

1288544661560 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 1288544661560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1619927527680).

1288544661560 is an abundant number, since it is smaller than the sum of its proper divisors (1951310393800).

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

1288544661560 is a wasteful number, since it uses less digits than its factorization.

1288544661560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811789 (or 811785 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 56.

The spelling of 1288544661560 in words is "one trillion, two hundred eighty-eight billion, five hundred forty-four million, six hundred sixty-one thousand, five hundred sixty".