1268582857152 has 224 divisors, whose sum is σ = 3658932829440. Its totient is φ = 385559961600.

The previous prime is 1268582857121. The next prime is 1268582857163. The reversal of 1268582857152 is 2517582858621.

It is a super-2 number, since 2×1268582857152² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 285008527 + ... + 285012977.

It is an arithmetic number, because the mean of its divisors is an integer number (16334521560).

Almost surely, 2^{1268582857152} is an apocalyptic number.

1268582857152 is a gapful number since it is divisible by the number (12) 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 1268582857152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1829466414720).

1268582857152 is an abundant number, since it is smaller than the sum of its proper divisors (2390349972288).

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

1268582857152 is a wasteful number, since it uses less digits than its factorization.

1268582857152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5851 (or 5841 counting only the distinct ones).

The product of its digits is 21504000, while the sum is 60.

The spelling of 1268582857152 in words is "one trillion, two hundred sixty-eight billion, five hundred eighty-two million, eight hundred fifty-seven thousand, one hundred fifty-two".