11019853800 has 144 divisors (see below), whose sum is σ = 37157309280. Its totient is φ = 2926800000.

The previous prime is 11019853783. The next prime is 11019853807. The reversal of 11019853800 is 835891011.

11019853800 is a `hidden beast` number, since 110 + 1 + 9 + 8 + 538 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11019853807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 439605 + ... + 463995.

It is an arithmetic number, because the mean of its divisors is an integer number (258036870).

Almost surely, 2^11019853800 is an apocalyptic number.

11019853800 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 11019853800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18578654640).

11019853800 is an abundant number, since it is smaller than the sum of its proper divisors (26137455480).

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

11019853800 is a wasteful number, since it uses less digits than its factorization.

11019853800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24664 (or 24652 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 36.

The spelling of 11019853800 in words is "eleven billion, nineteen million, eight hundred fifty-three thousand, eight hundred".