11805821202240 has 1120 divisors, whose sum is σ = 47981377914624. Its totient is φ = 2729667133440.

The previous prime is 11805821202239. The next prime is 11805821202247. The reversal of 11805821202240 is 4220212850811.

It is a happy number.

11805821202240 is a `hidden beast` number, since 1 + 1 + 8 + 0 + 582 + 12 + 0 + 22 + 40 = 666.

11805821202240 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 a junction number, because it is equal to n+sod(n) for n = 11805821202195 and 11805821202204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11805821202247) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3362522085 + ... + 3362525595.

Almost surely, 2^{11805821202240} is an apocalyptic number.

11805821202240 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 11805821202240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23990688957312).

11805821202240 is an abundant number, since it is smaller than the sum of its proper divisors (36175556712384).

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

11805821202240 is a wasteful number, since it uses less digits than its factorization.

11805821202240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4157 (or 4138 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The spelling of 11805821202240 in words is "eleven trillion, eight hundred five billion, eight hundred twenty-one million, two hundred two thousand, two hundred forty".