1311956080 has 80 divisors (see below), whose sum is σ = 3228364800. Its totient is φ = 494449920.

The previous prime is 1311956077. The next prime is 1311956141. The reversal of 1311956080 is 806591131.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 288061 + ... + 292579.

It is an arithmetic number, because the mean of its divisors is an integer number (40354560).

Almost surely, 2^1311956080 is an apocalyptic number.

1311956080 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 1311956080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1614182400).

1311956080 is an abundant number, since it is smaller than the sum of its proper divisors (1916408720).

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

1311956080 is a wasteful number, since it uses less digits than its factorization.

1311956080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4742 (or 4736 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 34.

The square root of 1311956080 is about 36220.9342783976. The cubic root of 1311956080 is about 1094.7285191188.

The spelling of 1311956080 in words is "one billion, three hundred eleven million, nine hundred fifty-six thousand, eighty".