1006662510260 has 96 divisors (see below), whose sum is σ = 2446727472000. Its totient is φ = 343835136000.

The previous prime is 1006662510253. The next prime is 1006662510331. The reversal of 1006662510260 is 620152666001.

1006662510260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 1006662510260.

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, 1596560 + ... + 2135960.

It is an arithmetic number, because the mean of its divisors is an integer number (25486744500).

Almost surely, 2^{1006662510260} is an apocalyptic number.

1006662510260 is a gapful number since it is divisible by the number (10) 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 1006662510260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1223363736000).

1006662510260 is an abundant number, since it is smaller than the sum of its proper divisors (1440064961740).

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

1006662510260 is a wasteful number, since it uses less digits than its factorization.

1006662510260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539937 (or 539935 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The spelling of 1006662510260 in words is "one trillion, six billion, six hundred sixty-two million, five hundred ten thousand, two hundred sixty".