1311583080960 has 960 divisors, whose sum is σ = 4760461525248. Its totient is φ = 333538394112.

The previous prime is 1311583080943. The next prime is 1311583080979. The reversal of 1311583080960 is 690803851131.

It is a happy number.

1311583080960 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 583 + 0 + 8 + 0 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11606929864 + ... + 11606929976.

Almost surely, 2^{1311583080960} is an apocalyptic number.

1311583080960 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 1311583080960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2380230762624).

1311583080960 is an abundant number, since it is smaller than the sum of its proper divisors (3448878444288).

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

1311583080960 is a wasteful number, since it uses less digits than its factorization.

1311583080960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 1311583080960 in words is "one trillion, three hundred eleven billion, five hundred eighty-three million, eighty thousand, nine hundred sixty".