10256824032 has 192 divisors, whose sum is σ = 33286256640. Its totient is φ = 2692952064.

The previous prime is 10256824031. The next prime is 10256824043. The reversal of 10256824032 is 23042865201.

10256824032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10256823984 and 10256824002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10256824031) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2032969 + ... + 2038007.

It is an arithmetic number, because the mean of its divisors is an integer number (173365920).

Almost surely, 2^10256824032 is an apocalyptic number.

10256824032 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 10256824032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16643128320).

10256824032 is an abundant number, since it is smaller than the sum of its proper divisors (23029432608).

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

10256824032 is a wasteful number, since it uses less digits than its factorization.

10256824032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5305 (or 5297 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 10256824032 in words is "ten billion, two hundred fifty-six million, eight hundred twenty-four thousand, thirty-two".