1256298391296 has 576 divisors, whose sum is σ = 4105704637440. Its totient is φ = 376532582400.

The previous prime is 1256298391247. The next prime is 1256298391331. The reversal of 1256298391296 is 6921938926521.

1256298391296 is a `hidden beast` number, since 1 + 2 + 56 + 298 + 3 + 9 + 1 + 296 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 719116695 + ... + 719118441.

It is an arithmetic number, because the mean of its divisors is an integer number (7127959440).

Almost surely, 2^{1256298391296} is an apocalyptic number.

1256298391296 is a gapful number since it is divisible by the number (16) 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 1256298391296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2052852318720).

1256298391296 is an abundant number, since it is smaller than the sum of its proper divisors (2849406246144).

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

1256298391296 is a wasteful number, since it uses less digits than its factorization.

1256298391296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1989 (or 1969 counting only the distinct ones).

The product of its digits is 25194240, while the sum is 63.

The spelling of 1256298391296 in words is "one trillion, two hundred fifty-six billion, two hundred ninety-eight million, three hundred ninety-one thousand, two hundred ninety-six".