10853892000 has 768 divisors, whose sum is σ = 46230912000. Its totient is φ = 2472422400.

The previous prime is 10853891969. The next prime is 10853892013. The reversal of 10853892000 is 29835801.

10853892000 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 an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 37043854 + ... + 37044146.

It is an arithmetic number, because the mean of its divisors is an integer number (60196500).

Almost surely, 2^10853892000 is an apocalyptic number.

10853892000 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 10853892000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23115456000).

10853892000 is an abundant number, since it is smaller than the sum of its proper divisors (35377020000).

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

10853892000 is an equidigital number, since it uses as much as digits as its factorization.

10853892000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 10853892000 in words is "ten billion, eight hundred fifty-three million, eight hundred ninety-two thousand".