1255346311968 has 288 divisors, whose sum is σ = 4326788793600. Its totient is φ = 337031331840.

The previous prime is 1255346311943. The next prime is 1255346312023. The reversal of 1255346311968 is 8691136435521.

1255346311968 is a `hidden beast` number, since 1 + 2 + 5 + 5 + 3 + 463 + 119 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21596608 + ... + 21654656.

It is an arithmetic number, because the mean of its divisors is an integer number (15023572200).

Almost surely, 2^{1255346311968} is an apocalyptic number.

1255346311968 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 1255346311968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2163394396800).

1255346311968 is an abundant number, since it is smaller than the sum of its proper divisors (3071442481632).

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

1255346311968 is a wasteful number, since it uses less digits than its factorization.

1255346311968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58720 (or 58709 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 54.

The spelling of 1255346311968 in words is "one trillion, two hundred fifty-five billion, three hundred forty-six million, three hundred eleven thousand, nine hundred sixty-eight".