1268796187584 has 168 divisors, whose sum is σ = 3772555947888. Its totient is φ = 422810357760.

The previous prime is 1268796187579. The next prime is 1268796187597. The reversal of 1268796187584 is 4857816978621.

It is a happy number.

1268796187584 is a `hidden beast` number, since 1 + 26 + 8 + 7 + 9 + 6 + 18 + 7 + 584 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65946414 + ... + 65965650.

It is an arithmetic number, because the mean of its divisors is an integer number (22455690166).

Almost surely, 2^{1268796187584} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1268796187584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1886277973944).

1268796187584 is an abundant number, since it is smaller than the sum of its proper divisors (2503759760304).

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

1268796187584 is an equidigital number, since it uses as much as digits as its factorization.

1268796187584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23505 (or 23483 counting only the distinct ones).

The product of its digits is 325140480, while the sum is 72.

The spelling of 1268796187584 in words is "one trillion, two hundred sixty-eight billion, seven hundred ninety-six million, one hundred eighty-seven thousand, five hundred eighty-four".