10329904752 has 80 divisors (see below), whose sum is σ = 28613168640. Its totient is φ = 3199712256.

The previous prime is 10329904733. The next prime is 10329904771. The reversal of 10329904752 is 25740992301.

It is an interprime number because it is at equal distance from previous prime (10329904733) and next prime (10329904771).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15658 + ... + 144585.

It is an arithmetic number, because the mean of its divisors is an integer number (357664608).

Almost surely, 2^10329904752 is an apocalyptic number.

10329904752 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 10329904752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14306584320).

10329904752 is an abundant number, since it is smaller than the sum of its proper divisors (18283263888).

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

10329904752 is a wasteful number, since it uses less digits than its factorization.

10329904752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160350 (or 160344 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The spelling of 10329904752 in words is "ten billion, three hundred twenty-nine million, nine hundred four thousand, seven hundred fifty-two".