1026610064224 has 192 divisors, whose sum is σ = 2150921207232. Its totient is φ = 481738752000.

The previous prime is 1026610064191. The next prime is 1026610064257. The reversal of 1026610064224 is 4224600166201.

It is an interprime number because it is at equal distance from previous prime (1026610064191) and next prime (1026610064257).

It is a self number, because there is not a number n which added to its sum of digits gives 1026610064224.

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, 1708169524 + ... + 1708170124.

It is an arithmetic number, because the mean of its divisors is an integer number (11202714621).

Almost surely, 2^{1026610064224} 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 1026610064224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1075460603616).

1026610064224 is an abundant number, since it is smaller than the sum of its proper divisors (1124311143008).

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

1026610064224 is a wasteful number, since it uses less digits than its factorization.

1026610064224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The spelling of 1026610064224 in words is "one trillion, twenty-six billion, six hundred ten million, sixty-four thousand, two hundred twenty-four".