1309796167680 has 2496 divisors, whose sum is σ = 6319876792320. Its totient is φ = 242063769600.

The previous prime is 1309796167679. The next prime is 1309796167723. The reversal of 1309796167680 is 867616979031.

1309796167680 is a `hidden beast` number, since 1 + 3 + 0 + 9 + 7 + 9 + 616 + 7 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5719633806 + ... + 5719634034.

It is an arithmetic number, because the mean of its divisors is an integer number (2532001920).

Almost surely, 2^{1309796167680} is an apocalyptic number.

1309796167680 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 1309796167680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3159938396160).

1309796167680 is an abundant number, since it is smaller than the sum of its proper divisors (5010080624640).

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

1309796167680 is a wasteful number, since it uses less digits than its factorization.

1309796167680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 63.

The spelling of 1309796167680 in words is "one trillion, three hundred nine billion, seven hundred ninety-six million, one hundred sixty-seven thousand, six hundred eighty".