1026659565568 has 720 divisors, whose sum is σ = 2763123148800. Its totient is φ = 380226502656.

The previous prime is 1026659565559. The next prime is 1026659565571. The reversal of 1026659565568 is 8655659566201.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

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, 21843820521 + ... + 21843820567.

It is an arithmetic number, because the mean of its divisors is an integer number (3837671040).

Almost surely, 2^{1026659565568} 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 1026659565568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1381561574400).

1026659565568 is an abundant number, since it is smaller than the sum of its proper divisors (1736463583232).

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

1026659565568 is an frugal number, since it uses more digits than its factorization.

1026659565568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 116640000, while the sum is 64.

The spelling of 1026659565568 in words is "one trillion, twenty-six billion, six hundred fifty-nine million, five hundred sixty-five thousand, five hundred sixty-eight".