10285821180 has 192 divisors, whose sum is σ = 32581785600. Its totient is φ = 2693399040.

The previous prime is 10285821157. The next prime is 10285821187. The reversal of 10285821180 is 8112858201.

10285821180 is digitally balanced in base 2, 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10285821187) 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 63 ways as a sum of consecutive naturals, for example, 12259201 + ... + 12260039.

It is an arithmetic number, because the mean of its divisors is an integer number (169696800).

Almost surely, 2^10285821180 is an apocalyptic number.

10285821180 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 10285821180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16290892800).

10285821180 is an abundant number, since it is smaller than the sum of its proper divisors (22295964420).

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

10285821180 is a wasteful number, since it uses less digits than its factorization.

10285821180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1241 (or 1233 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 36.

The spelling of 10285821180 in words is "ten billion, two hundred eighty-five million, eight hundred twenty-one thousand, one hundred eighty".