1296258655680 has 336 divisors, whose sum is σ = 4632006768480. Its totient is φ = 345049694208.

The previous prime is 1296258655591. The next prime is 1296258655697. The reversal of 1296258655680 is 865568526921.

1296258655680 is a `hidden beast` number, since 1 + 2 + 9 + 6 + 2 + 5 + 8 + 65 + 568 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 44230792 + ... + 44260088.

It is an arithmetic number, because the mean of its divisors is an integer number (13785734430).

Almost surely, 2^{1296258655680} is an apocalyptic number.

1296258655680 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 1296258655680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2316003384240).

1296258655680 is an abundant number, since it is smaller than the sum of its proper divisors (3335748112800).

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

1296258655680 is an equidigital number, since it uses as much as digits as its factorization.

1296258655680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29898 (or 29876 counting only the distinct ones).

The product of its (nonzero) digits is 62208000, while the sum is 63.

The spelling of 1296258655680 in words is "one trillion, two hundred ninety-six billion, two hundred fifty-eight million, six hundred fifty-five thousand, six hundred eighty".