1288353872564 has 96 divisors (see below), whose sum is σ = 2603535298560. Its totient is φ = 551691302400.

The previous prime is 1288353872539. The next prime is 1288353872569. The reversal of 1288353872564 is 4652783538821.

It is a junction number, because it is equal to n+sod(n) for n = 1288353872497 and 1288353872506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1288353872569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 273940637 + ... + 273945339.

It is an arithmetic number, because the mean of its divisors is an integer number (27120159360).

Almost surely, 2^{1288353872564} is an apocalyptic number.

It is an amenable number.

1288353872564 is an abundant number, since it is smaller than the sum of its proper divisors (1315181425996).

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

1288353872564 is a wasteful number, since it uses less digits than its factorization.

1288353872564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6501 (or 6499 counting only the distinct ones).

The product of its digits is 77414400, while the sum is 62.

The spelling of 1288353872564 in words is "one trillion, two hundred eighty-eight billion, three hundred fifty-three million, eight hundred seventy-two thousand, five hundred sixty-four".