1311126082560 has 1760 divisors, whose sum is σ = 5875627051008. Its totient is φ = 272640245760.

The previous prime is 1311126082547. The next prime is 1311126082601. The reversal of 1311126082560 is 652806211131.

1311126082560 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 12 + 6 + 0 + 82 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 1529901652 + ... + 1529902508.

Almost surely, 2^{1311126082560} is an apocalyptic number.

1311126082560 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 1311126082560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2937813525504).

1311126082560 is an abundant number, since it is smaller than the sum of its proper divisors (4564500968448).

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

1311126082560 is a wasteful number, since it uses less digits than its factorization.

1311126082560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 1311126082560 in words is "one trillion, three hundred eleven billion, one hundred twenty-six million, eighty-two thousand, five hundred sixty".