1286488284480 has 1792 divisors, whose sum is σ = 5725940613120. Its totient is φ = 265155379200.

The previous prime is 1286488284479. The next prime is 1286488284481. The reversal of 1286488284480 is 844828846821.

1286488284480 is a `hidden beast` number, since 12 + 8 + 6 + 488 + 28 + 44 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (1286488284479) and next prime (1286488284481).

It is a super-2 number, since 2×1286488284480² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1286488284481) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5769005649 + ... + 5769005871.

It is an arithmetic number, because the mean of its divisors is an integer number (3195279360).

Almost surely, 2^{1286488284480} is an apocalyptic number.

1286488284480 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 1286488284480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2862970306560).

1286488284480 is an abundant number, since it is smaller than the sum of its proper divisors (4439452328640).

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

1286488284480 is a wasteful number, since it uses less digits than its factorization.

1286488284480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 50331648, while the sum is 63.

The spelling of 1286488284480 in words is "one trillion, two hundred eighty-six billion, four hundred eighty-eight million, two hundred eighty-four thousand, four hundred eighty".