10329875712 has 216 divisors, whose sum is σ = 32198408424. Its totient is φ = 3166175232.

The previous prime is 10329875671. The next prime is 10329875753. The reversal of 10329875712 is 21757892301.

It is an interprime number because it is at equal distance from previous prime (10329875671) and next prime (10329875753).

It can be written as a sum of positive squares in 4 ways, for example, as 1676411136 + 8653464576 = 40944^2 + 93024^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10572568 + ... + 10573544.

Almost surely, 2^10329875712 is an apocalyptic number.

10329875712 is a gapful number since it is divisible by the number (12) 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 10329875712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16099204212).

10329875712 is an abundant number, since it is smaller than the sum of its proper divisors (21868532712).

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

10329875712 is a wasteful number, since it uses less digits than its factorization.

10329875712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 10329875712 in words is "ten billion, three hundred twenty-nine million, eight hundred seventy-five thousand, seven hundred twelve".