10482307752 has 256 divisors, whose sum is σ = 33292800000. Its totient is φ = 2738292480.

The previous prime is 10482307739. The next prime is 10482307769. The reversal of 10482307752 is 25770328401.

It is a self number, because there is not a number n which added to its sum of digits gives 10482307752.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4534677 + ... + 4536987.

It is an arithmetic number, because the mean of its divisors is an integer number (130050000).

Almost surely, 2^10482307752 is an apocalyptic number.

10482307752 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 10482307752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16646400000).

10482307752 is an abundant number, since it is smaller than the sum of its proper divisors (22810492248).

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

10482307752 is a wasteful number, since it uses less digits than its factorization.

10482307752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2389 (or 2371 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The spelling of 10482307752 in words is "ten billion, four hundred eighty-two million, three hundred seven thousand, seven hundred fifty-two".