1288511815680 has 1152 divisors, whose sum is σ = 4952615270400. Its totient is φ = 321052999680.

The previous prime is 1288511815667. The next prime is 1288511815681. The reversal of 1288511815680 is 865181158821.

1288511815680 is a `hidden beast` number, since 1 + 28 + 8 + 51 + 1 + 8 + 1 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-4 number, since 4×1288511815680⁴ (a number of 50 digits) contains 4444 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 not an unprimeable number, because it can be changed into a prime (1288511815681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41564897265 + ... + 41564897295.

It is an arithmetic number, because the mean of its divisors is an integer number (4299145200).

Almost surely, 2^{1288511815680} is an apocalyptic number.

1288511815680 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 1288511815680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2476307635200).

1288511815680 is an abundant number, since it is smaller than the sum of its proper divisors (3664103454720).

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

1288511815680 is an frugal number, since it uses more digits than its factorization.

1288511815680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 54.

The spelling of 1288511815680 in words is "one trillion, two hundred eighty-eight billion, five hundred eleven million, eight hundred fifteen thousand, six hundred eighty".