1306980011160 has 256 divisors, whose sum is σ = 4600854720000. Its totient is φ = 329107318272.

The previous prime is 1306980011147. The next prime is 1306980011167. The reversal of 1306980011160 is 611100896031.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1306980011167) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6195906 + ... + 6403374.

It is an arithmetic number, because the mean of its divisors is an integer number (17972088750).

Almost surely, 2^{1306980011160} is an apocalyptic number.

1306980011160 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 1306980011160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2300427360000).

1306980011160 is an abundant number, since it is smaller than the sum of its proper divisors (3293874708840).

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

1306980011160 is a wasteful number, since it uses less digits than its factorization.

1306980011160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207815 (or 207805 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 1306980011160 in words is "one trillion, three hundred six billion, nine hundred eighty million, eleven thousand, one hundred sixty".