10285845570 has 768 divisors, whose sum is σ = 38645268480. Its totient is φ = 1828915200.

The previous prime is 10285845547. The next prime is 10285845649. The reversal of 10285845570 is 7554858201.

10285845570 is a `hidden beast` number, since 1 + 0 + 28 + 58 + 4 + 5 + 570 = 666.

10285845570 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 80990847 + ... + 80990973.

It is an arithmetic number, because the mean of its divisors is an integer number (50319360).

Almost surely, 2^10285845570 is an apocalyptic number.

10285845570 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10285845570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19322634240).

10285845570 is an abundant number, since it is smaller than the sum of its proper divisors (28359422910).

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

10285845570 is a wasteful number, since it uses less digits than its factorization.

10285845570 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 448000, while the sum is 45.

The spelling of 10285845570 in words is "ten billion, two hundred eighty-five million, eight hundred forty-five thousand, five hundred seventy".