1256842992960 has 280 divisors, whose sum is σ = 4665196964736. Its totient is φ = 320585886720.

The previous prime is 1256842992953. The next prime is 1256842992967. The reversal of 1256842992960 is 692992486521.

1256842992960 is a `hidden beast` number, since 1 + 2 + 5 + 68 + 429 + 92 + 9 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (1256842992953) and next prime (1256842992967).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1256842992967) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 457956 + ... + 1650275.

Almost surely, 2^{1256842992960} is an apocalyptic number.

1256842992960 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 1256842992960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2332598482368).

1256842992960 is an abundant number, since it is smaller than the sum of its proper divisors (3408353971776).

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

1256842992960 is a wasteful number, since it uses less digits than its factorization.

1256842992960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2108283 (or 2108264 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 1256842992960 in words is "one trillion, two hundred fifty-six billion, eight hundred forty-two million, nine hundred ninety-two thousand, nine hundred sixty".