1306111026560 has 128 divisors (see below), whose sum is σ = 3241784367360. Its totient is φ = 502667550720.

The previous prime is 1306111026487. The next prime is 1306111026581. The reversal of 1306111026560 is 656201116031.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

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 15 ways as a sum of consecutive naturals, for example, 3242054 + ... + 3622586.

It is an arithmetic number, because the mean of its divisors is an integer number (25326440370).

Almost surely, 2^{1306111026560} is an apocalyptic number.

1306111026560 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 1306111026560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1620892183680).

1306111026560 is an abundant number, since it is smaller than the sum of its proper divisors (1935673340800).

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

1306111026560 is a wasteful number, since it uses less digits than its factorization.

1306111026560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380756 (or 380744 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The spelling of 1306111026560 in words is "one trillion, three hundred six billion, one hundred eleven million, twenty-six thousand, five hundred sixty".