10482847200 has 1152 divisors, whose sum is σ = 47246976000. Its totient is φ = 2189721600.

The previous prime is 10482847189. The next prime is 10482847217. The reversal of 10482847200 is 274828401.

10482847200 is a `hidden beast` number, since 104 + 82 + 8 + 472 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 117784756 + ... + 117784844.

It is an arithmetic number, because the mean of its divisors is an integer number (41013000).

Almost surely, 2^10482847200 is an apocalyptic number.

10482847200 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 10482847200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23623488000).

10482847200 is an abundant number, since it is smaller than the sum of its proper divisors (36764128800).

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

10482847200 is a wasteful number, since it uses less digits than its factorization.

10482847200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 10482847200 in words is "ten billion, four hundred eighty-two million, eight hundred forty-seven thousand, two hundred".