11105254218240 has 1920 divisors, whose sum is σ = 49681884155904. Its totient is φ = 2229534720000.

The previous prime is 11105254218239. The next prime is 11105254218259. The reversal of 11105254218240 is 4281245250111.

11105254218240 is a `hidden beast` number, since 1 + 1 + 10 + 52 + 542 + 18 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 = 11105254218195 and 11105254218204.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3964744840 + ... + 3964747640.

Almost surely, 2^{11105254218240} is an apocalyptic number.

11105254218240 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 11105254218240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24840942077952).

11105254218240 is an abundant number, since it is smaller than the sum of its proper divisors (38576629937664).

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

11105254218240 is a wasteful number, since it uses less digits than its factorization.

11105254218240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2942 (or 2923 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

Adding to 11105254218240 its reverse (4281245250111), we get a palindrome (15386499468351).

The spelling of 11105254218240 in words is "eleven trillion, one hundred five billion, two hundred fifty-four million, two hundred eighteen thousand, two hundred forty".