1303282867680 has 192 divisors, whose sum is σ = 4566510950400. Its totient is φ = 347159554560.

The previous prime is 1303282867639. The next prime is 1303282867709. The reversal of 1303282867680 is 867682823031.

1303282867680 is a `hidden beast` number, since 1 + 30 + 328 + 286 + 7 + 6 + 8 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3769941 + ... + 4101099.

It is an arithmetic number, because the mean of its divisors is an integer number (23783911200).

Almost surely, 2^{1303282867680} is an apocalyptic number.

1303282867680 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 1303282867680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2283255475200).

1303282867680 is an abundant number, since it is smaller than the sum of its proper divisors (3263228082720).

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

1303282867680 is a wasteful number, since it uses less digits than its factorization.

1303282867680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332094 (or 332080 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 1303282867680 in words is "one trillion, three hundred three billion, two hundred eighty-two million, eight hundred sixty-seven thousand, six hundred eighty".