1288485273600 has 2040 divisors, whose sum is σ = 5821104280640. Its totient is φ = 275188285440.

The previous prime is 1288485273533. The next prime is 1288485273601. The reversal of 1288485273600 is 63725848821.

1288485273600 is a `hidden beast` number, since 1 + 2 + 8 + 8 + 4 + 8 + 5 + 27 + 3 + 600 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1288485273601) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 17650483164 + ... + 17650483236.

Almost surely, 2^{1288485273600} is an apocalyptic number.

1288485273600 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 1288485273600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2910552140320).

1288485273600 is an abundant number, since it is smaller than the sum of its proper divisors (4532619007040).

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

1288485273600 is an frugal number, since it uses more digits than its factorization.

1288485273600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 1288485273600 in words is "one trillion, two hundred eighty-eight billion, four hundred eighty-five million, two hundred seventy-three thousand, six hundred".