10305255600 has 360 divisors, whose sum is σ = 37303898112. Its totient is φ = 2631513600.

The previous prime is 10305255559. The next prime is 10305255607. The reversal of 10305255600 is 655250301.

10305255600 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 5 + 2 + 55 + 600 = 666.

10305255600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

It is not an unprimeable number, because it can be changed into a prime (10305255607) 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 71 ways as a sum of consecutive naturals, for example, 11940769 + ... + 11941631.

Almost surely, 2^10305255600 is an apocalyptic number.

10305255600 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 10305255600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18651949056).

10305255600 is an abundant number, since it is smaller than the sum of its proper divisors (26998642512).

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

10305255600 is a wasteful number, since it uses less digits than its factorization.

10305255600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The spelling of 10305255600 in words is "ten billion, three hundred five million, two hundred fifty-five thousand, six hundred".