11053735453800 has 1440 divisors, whose sum is σ = 43865175261600. Its totient is φ = 2564150307840.

The previous prime is 11053735453769. The next prime is 11053735453807. The reversal of 11053735453800 is 835453735011.

11053735453800 is a `hidden beast` number, since 1 + 1 + 0 + 5 + 3 + 73 + 545 + 38 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (11053735453807) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 26381229991 + ... + 26381230409.

It is an arithmetic number, because the mean of its divisors is an integer number (30461927265).

Almost surely, 2^{11053735453800} is an apocalyptic number.

11053735453800 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 11053735453800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21932587630800).

11053735453800 is an abundant number, since it is smaller than the sum of its proper divisors (32811439807800).

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

11053735453800 is a wasteful number, since it uses less digits than its factorization.

11053735453800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 11053735453800 in words is "eleven trillion, fifty-three billion, seven hundred thirty-five million, four hundred fifty-three thousand, eight hundred".