10482825600 has 1152 divisors, whose sum is σ = 44956810080. Its totient is φ = 2388787200.

The previous prime is 10482825589. The next prime is 10482825611. The reversal of 10482825600 is 652828401.

10482825600 is a `hidden beast` number, since 1 + 0 + 4 + 8 + 28 + 25 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (10482825589) and next prime (10482825611).

It is a tau number, because it is divible by the number of its divisors (1152).

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 143 ways as a sum of consecutive naturals, for example, 171849570 + ... + 171849630.

Almost surely, 2^10482825600 is an apocalyptic number.

10482825600 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 10482825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22478405040).

10482825600 is an abundant number, since it is smaller than the sum of its proper divisors (34473984480).

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

10482825600 is a wasteful number, since it uses less digits than its factorization.

10482825600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 10482825600 in words is "ten billion, four hundred eighty-two million, eight hundred twenty-five thousand, six hundred".