10853427200 has 288 divisors, whose sum is σ = 33562226880. Its totient is φ = 3381657600.

The previous prime is 10853427199. The next prime is 10853427223. The reversal of 10853427200 is 272435801.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3941024 + ... + 3943776.

It is an arithmetic number, because the mean of its divisors is an integer number (116535510).

Almost surely, 2^10853427200 is an apocalyptic number.

10853427200 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 10853427200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16781113440).

10853427200 is an abundant number, since it is smaller than the sum of its proper divisors (22708799680).

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

10853427200 is a wasteful number, since it uses less digits than its factorization.

10853427200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2803 (or 2778 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The spelling of 10853427200 in words is "ten billion, eight hundred fifty-three million, four hundred twenty-seven thousand, two hundred".