10829682672 has 20 divisors (see below), whose sum is σ = 27976680360. Its totient is φ = 3609894208.

The previous prime is 10829682671. The next prime is 10829682679. The reversal of 10829682672 is 27628692801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10829682671) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 112809147 + ... + 112809242.

It is an arithmetic number, because the mean of its divisors is an integer number (1398834018).

Almost surely, 2^10829682672 is an apocalyptic number.

10829682672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10829682672 is an abundant number, since it is smaller than the sum of its proper divisors (17146997688).

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

10829682672 is a wasteful number, since it uses less digits than its factorization.

10829682672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225618400 (or 225618394 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The spelling of 10829682672 in words is "ten billion, eight hundred twenty-nine million, six hundred eighty-two thousand, six hundred seventy-two".