1303780988160 has 864 divisors, whose sum is σ = 5396005375488. Its totient is φ = 284177203200.

The previous prime is 1303780988129. The next prime is 1303780988207. The reversal of 1303780988160 is 618890873031.

1303780988160 is a `hidden beast` number, since 1 + 30 + 378 + 0 + 9 + 88 + 160 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1303780988097 and 1303780988106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 743741844 + ... + 743743596.

It is an arithmetic number, because the mean of its divisors is an integer number (6245376592).

Almost surely, 2^{1303780988160} is an apocalyptic number.

1303780988160 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 1303780988160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2698002687744).

1303780988160 is an abundant number, since it is smaller than the sum of its proper divisors (4092224387328).

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

1303780988160 is a wasteful number, since it uses less digits than its factorization.

1303780988160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2211 (or 2194 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 1303780988160 in words is "one trillion, three hundred three billion, seven hundred eighty million, nine hundred eighty-eight thousand, one hundred sixty".