10285221888 has 252 divisors, whose sum is σ = 31209997455. Its totient is φ = 3387101184.

The previous prime is 10285221847. The next prime is 10285221889. The reversal of 10285221888 is 88812258201.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

10285221888 is a `hidden beast` number, since 10 + 28 + 522 + 18 + 88 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5142610944 + 5142610944 = 71712^2 + 71712^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=71712.

It is not an unprimeable number, because it can be changed into a prime (10285221889) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 123918295 + ... + 123918377.

Almost surely, 2^10285221888 is an apocalyptic number.

10285221888 is a gapful number since it is divisible by the number (18) 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 10285221888

10285221888 is an abundant number, since it is smaller than the sum of its proper divisors (20924775567).

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

10285221888 is an frugal number, since it uses more digits than its factorization.

10285221888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 45.

The spelling of 10285221888 in words is "ten billion, two hundred eighty-five million, two hundred twenty-one thousand, eight hundred eighty-eight".