10296601824 has 96 divisors (see below), whose sum is σ = 27411471360. Its totient is φ = 3383880192.

The previous prime is 10296601813. The next prime is 10296601859. The reversal of 10296601824 is 42810669201.

10296601824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2361054 + ... + 2365410.

It is an arithmetic number, because the mean of its divisors is an integer number (285536160).

Almost surely, 2^10296601824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10296601824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13705735680).

10296601824 is an abundant number, since it is smaller than the sum of its proper divisors (17114869536).

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

10296601824 is a wasteful number, since it uses less digits than its factorization.

10296601824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4712 (or 4704 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 10296601824 in words is "ten billion, two hundred ninety-six million, six hundred one thousand, eight hundred twenty-four".