10829682680 has 16 divisors (see below), whose sum is σ = 24366786120. Its totient is φ = 4331873056.

The previous prime is 10829682679. The next prime is 10829682691. The reversal of 10829682680 is 8628692801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 135370994 + ... + 135371073.

Almost surely, 2^10829682680 is an apocalyptic number.

10829682680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10829682680 is an abundant number, since it is smaller than the sum of its proper divisors (13537103440).

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

10829682680 is a wasteful number, since it uses less digits than its factorization.

10829682680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270742078 (or 270742074 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 50.

The spelling of 10829682680 in words is "ten billion, eight hundred twenty-nine million, six hundred eighty-two thousand, six hundred eighty".