1296905105664 has 1080 divisors, whose sum is σ = 4772334388640. Its totient is φ = 350273839104.

The previous prime is 1296905105653. The next prime is 1296905105681. The reversal of 1296905105664 is 4665015096921.

1296905105664 is a `hidden beast` number, since 1 + 2 + 9 + 69 + 0 + 5 + 10 + 566 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1296905105664.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2837866524 + ... + 2837866980.

Almost surely, 2^{1296905105664} is an apocalyptic number.

1296905105664 is a gapful number since it is divisible by the number (14) 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 1296905105664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2386167194320).

1296905105664 is an abundant number, since it is smaller than the sum of its proper divisors (3475429282976).

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

1296905105664 is an frugal number, since it uses more digits than its factorization.

1296905105664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 1296905105664 in words is "one trillion, two hundred ninety-six billion, nine hundred five million, one hundred five thousand, six hundred sixty-four".