1303676828160 has 640 divisors, whose sum is σ = 4816748851200. Its totient is φ = 294648938496.

The previous prime is 1303676828117. The next prime is 1303676828243. The reversal of 1303676828160 is 618286763031.

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2492689659 + ... + 2492690181.

It is an arithmetic number, because the mean of its divisors is an integer number (7526170080).

Almost surely, 2^{1303676828160} is an apocalyptic number.

1303676828160 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 1303676828160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2408374425600).

1303676828160 is an abundant number, since it is smaller than the sum of its proper divisors (3513072023040).

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

1303676828160 is a wasteful number, since it uses less digits than its factorization.

1303676828160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 1303676828160 in words is "one trillion, three hundred three billion, six hundred seventy-six million, eight hundred twenty-eight thousand, one hundred sixty".