1319753585664 has 110 divisors (see below), whose sum is σ = 3941042473434. Its totient is φ = 439917834240.

The previous prime is 1319753585653. The next prime is 1319753585669. The reversal of 1319753585664 is 4665853579131.

1319753585664 is a `hidden beast` number, since 1 + 3 + 1 + 97 + 535 + 8 + 5 + 6 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1105021440000 + 214732145664 = 1051200^2 + 463392^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1319753585669) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 7872747 + ... + 8038634.

Almost surely, 2^{1319753585664} is an apocalyptic number.

It is an amenable number.

1319753585664 is an abundant number, since it is smaller than the sum of its proper divisors (2621288887770).

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

1319753585664 is an equidigital number, since it uses as much as digits as its factorization.

1319753585664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15911413 (or 15911386 counting only the distinct ones).

The product of its digits is 81648000, while the sum is 63.

The spelling of 1319753585664 in words is "one trillion, three hundred nineteen billion, seven hundred fifty-three million, five hundred eighty-five thousand, six hundred sixty-four".