1288809552240 has 600 divisors, whose sum is σ = 5230269986832. Its totient is φ = 293270906880.

The previous prime is 1288809552211. The next prime is 1288809552257. The reversal of 1288809552240 is 422559088821.

1288809552240 is a `hidden beast` number, since 1 + 2 + 8 + 8 + 80 + 9 + 552 + 2 + 4 + 0 = 666.

It is a super-2 number, since 2×1288809552240² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 72068100 + ... + 72085980.

Almost surely, 2^{1288809552240} is an apocalyptic number.

1288809552240 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 1288809552240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2615134993416).

1288809552240 is an abundant number, since it is smaller than the sum of its proper divisors (3941460434592).

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

1288809552240 is a wasteful number, since it uses less digits than its factorization.

1288809552240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18147 (or 18125 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 54.

The spelling of 1288809552240 in words is "one trillion, two hundred eighty-eight billion, eight hundred nine million, five hundred fifty-two thousand, two hundred forty".