1026788667648 has 144 divisors (see below), whose sum is σ = 2779167605760. Its totient is φ = 336497928192.

The previous prime is 1026788667617. The next prime is 1026788667683. The reversal of 1026788667648 is 8467668876201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10948765 + ... + 11042147.

It is an arithmetic number, because the mean of its divisors is an integer number (19299775040).

Almost surely, 2^{1026788667648} 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 1026788667648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389583802880).

1026788667648 is an abundant number, since it is smaller than the sum of its proper divisors (1752378938112).

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

1026788667648 is a wasteful number, since it uses less digits than its factorization.

1026788667648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93644 (or 93630 counting only the distinct ones).

The product of its (nonzero) digits is 260112384, while the sum is 69.

The spelling of 1026788667648 in words is "one trillion, twenty-six billion, seven hundred eighty-eight million, six hundred sixty-seven thousand, six hundred forty-eight".