10482856320 has 256 divisors, whose sum is σ = 35497958400. Its totient is φ = 2623832064.

The previous prime is 10482856313. The next prime is 10482856327. The reversal of 10482856320 is 2365828401.

It is an interprime number because it is at equal distance from previous prime (10482856313) and next prime (10482856327).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10482856327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4120969 + ... + 4123511.

It is an arithmetic number, because the mean of its divisors is an integer number (138663900).

Almost surely, 2^10482856320 is an apocalyptic number.

10482856320 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 10482856320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17748979200).

10482856320 is an abundant number, since it is smaller than the sum of its proper divisors (25015102080).

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

10482856320 is a wasteful number, since it uses less digits than its factorization.

10482856320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2697 (or 2685 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 10482856320 in words is "ten billion, four hundred eighty-two million, eight hundred fifty-six thousand, three hundred twenty".