10853500222656 has 2688 divisors, whose sum is σ = 45182479104000. Its totient is φ = 2523610349568.

The previous prime is 10853500222633. The next prime is 10853500222693. The reversal of 10853500222656 is 65622200535801.

10853500222656 is a `hidden beast` number, since 1 + 0 + 8 + 53 + 500 + 22 + 26 + 56 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 121949440660 + ... + 121949440748.

It is an arithmetic number, because the mean of its divisors is an integer number (16808958000).

Almost surely, 2^{10853500222656} is an apocalyptic number.

10853500222656 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 10853500222656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22591239552000).

10853500222656 is an abundant number, since it is smaller than the sum of its proper divisors (34328978881344).

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

10853500222656 is an equidigital number, since it uses as much as digits as its factorization.

10853500222656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 10853500222656 in words is "ten trillion, eight hundred fifty-three billion, five hundred million, two hundred twenty-two thousand, six hundred fifty-six".