1288642867200 has 3120 divisors, whose sum is σ = 5884344940320. Its totient is φ = 275188285440.

The previous prime is 1288642867151. The next prime is 1288642867207. The reversal of 1288642867200 is 27682468821.

1288642867200 is a `hidden beast` number, since 1 + 2 + 8 + 8 + 6 + 428 + 6 + 7 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (3120).

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

It is not an unprimeable number, because it can be changed into a prime (1288642867207) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 34828185582 + ... + 34828185618.

Almost surely, 2^{1288642867200} is an apocalyptic number.

1288642867200 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 1288642867200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2942172470160).

1288642867200 is an abundant number, since it is smaller than the sum of its proper divisors (4595702073120).

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

1288642867200 is a wasteful number, since it uses less digits than its factorization.

1288642867200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 1288642867200 in words is "one trillion, two hundred eighty-eight billion, six hundred forty-two million, eight hundred sixty-seven thousand, two hundred".