1256491668096 has 480 divisors, whose sum is σ = 4404998030400. Its totient is φ = 354442023936.

The previous prime is 1256491668049. The next prime is 1256491668137. The reversal of 1256491668096 is 6908661946521.

1256491668096 is a `hidden beast` number, since 1 + 2 + 5 + 6 + 491 + 66 + 80 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 40118875 + ... + 40150181.

It is an arithmetic number, because the mean of its divisors is an integer number (9177079230).

Almost surely, 2^{1256491668096} is an apocalyptic number.

1256491668096 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 1256491668096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2202499015200).

1256491668096 is an abundant number, since it is smaller than the sum of its proper divisors (3148506362304).

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

1256491668096 is an equidigital number, since it uses as much as digits as its factorization.

1256491668096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31426 (or 31398 counting only the distinct ones).

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

The spelling of 1256491668096 in words is "one trillion, two hundred fifty-six billion, four hundred ninety-one million, six hundred sixty-eight thousand, ninety-six".