1256197258368 has 240 divisors, whose sum is σ = 4048120152450. Its totient is φ = 386521694208.

The previous prime is 1256197258357. The next prime is 1256197258391. The reversal of 1256197258368 is 8638527916521.

1256197258368 is a `hidden beast` number, since 1 + 2 + 5 + 6 + 19 + 7 + 258 + 368 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 268813214784 + 987384043584 = 518472^2 + 993672^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1393728 + ... + 2110656.

Almost surely, 2^{1256197258368} is an apocalyptic number.

1256197258368 is a gapful number since it is divisible by the number (18) 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 1256197258368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2024060076225).

1256197258368 is an abundant number, since it is smaller than the sum of its proper divisors (2791922894082).

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

1256197258368 is an equidigital number, since it uses as much as digits as its factorization.

1256197258368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716981 (or 716947 counting only the distinct ones).

The product of its digits is 43545600, while the sum is 63.

The spelling of 1256197258368 in words is "one trillion, two hundred fifty-six billion, one hundred ninety-seven million, two hundred fifty-eight thousand, three hundred sixty-eight".