10853885200 has 60 divisors (see below), whose sum is σ = 26138804068. Its totient is φ = 4331174400.

The previous prime is 10853885191. The next prime is 10853885209. The reversal of 10853885200 is 258835801.

It is an interprime number because it is at equal distance from previous prime (10853885191) and next prime (10853885209).

It can be written as a sum of positive squares in 6 ways, for example, as 6435890176 + 4417995024 = 80224^2 + 66468^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (10853885209) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 136174 + ... + 200626.

Almost surely, 2^10853885200 is an apocalyptic number.

10853885200 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 10853885200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13069402034).

10853885200 is an abundant number, since it is smaller than the sum of its proper divisors (15284918868).

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

10853885200 is a wasteful number, since it uses less digits than its factorization.

10853885200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64892 (or 64881 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 40.

The spelling of 10853885200 in words is "ten billion, eight hundred fifty-three million, eight hundred eighty-five thousand, two hundred".