1309980645792 has 576 divisors, whose sum is σ = 4746199691520. Its totient is φ = 344184422400.

The previous prime is 1309980645719. The next prime is 1309980645817. The reversal of 1309980645792 is 2975460899031.

1309980645792 is a `hidden beast` number, since 1 + 3 + 0 + 9 + 98 + 0 + 6 + 457 + 92 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 287211192 + ... + 287215752.

It is an arithmetic number, because the mean of its divisors is an integer number (8239930020).

It is a 1-persistent number, because it is pandigital, but 2⋅1309980645792 = 2619961291584 is not.

Almost surely, 2^{1309980645792} is an apocalyptic number.

1309980645792 is a gapful number since it is divisible by the number (12) 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 1309980645792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2373099845760).

1309980645792 is an abundant number, since it is smaller than the sum of its proper divisors (3436219045728).

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

1309980645792 is a wasteful number, since it uses less digits than its factorization.

1309980645792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4894 (or 4867 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 1309980645792 in words is "one trillion, three hundred nine billion, nine hundred eighty million, six hundred forty-five thousand, seven hundred ninety-two".