10329041520 has 240 divisors, whose sum is σ = 39712458240. Its totient is φ = 2356839936.

The previous prime is 10329041507. The next prime is 10329041537. The reversal of 10329041520 is 2514092301.

10329041520 is a `hidden beast` number, since 10 + 3 + 2 + 90 + 41 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3662671 + ... + 3665489.

It is an arithmetic number, because the mean of its divisors is an integer number (165468576).

Almost surely, 2^10329041520 is an apocalyptic number.

10329041520 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 10329041520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19856229120).

10329041520 is an abundant number, since it is smaller than the sum of its proper divisors (29383416720).

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

10329041520 is a wasteful number, since it uses less digits than its factorization.

10329041520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3572 (or 3563 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 10329041520 in words is "ten billion, three hundred twenty-nine million, forty-one thousand, five hundred twenty".