10218581856 has 144 divisors (see below), whose sum is σ = 34108218144. Its totient is φ = 2840666112.

The previous prime is 10218581827. The next prime is 10218581909. The reversal of 10218581856 is 65818581201.

10218581856 is a `hidden beast` number, since 1 + 0 + 2 + 18 + 581 + 8 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6096 + ... + 143088.

It is an arithmetic number, because the mean of its divisors is an integer number (236862626).

Almost surely, 2^10218581856 is an apocalyptic number.

10218581856 is a gapful number since it is divisible by the number (16) 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 10218581856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17054109072).

10218581856 is an abundant number, since it is smaller than the sum of its proper divisors (23889636288).

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

10218581856 is a wasteful number, since it uses less digits than its factorization.

10218581856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137053 (or 137042 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 45.

It can be divided in two parts, 102185 and 81856, that added together give a square (184041 = 429²).

The spelling of 10218581856 in words is "ten billion, two hundred eighteen million, five hundred eighty-one thousand, eight hundred fifty-six".