10352682386280 has 384 divisors, whose sum is σ = 38560631709600. Its totient is φ = 2386271010816.

The previous prime is 10352682386231. The next prime is 10352682386341. The reversal of 10352682386280 is 8268328625301.

It is a happy number.

10352682386280 is a `hidden beast` number, since 1 + 0 + 3 + 5 + 2 + 6 + 8 + 2 + 3 + 8 + 628 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 2431148297796 + 7921534088484 = 1559214^2 + 2814522^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15343056 + ... + 16003584.

Almost surely, 2^{10352682386280} is an apocalyptic number.

10352682386280 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 10352682386280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19280315854800).

10352682386280 is an abundant number, since it is smaller than the sum of its proper divisors (28207949323320).

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

10352682386280 is a wasteful number, since it uses less digits than its factorization.

10352682386280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660773 (or 660766 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 10352682386280 in words is "ten trillion, three hundred fifty-two billion, six hundred eighty-two million, three hundred eighty-six thousand, two hundred eighty".