11111103253440 has 560 divisors, whose sum is σ = 40531816271232. Its totient is φ = 2887722399744.

The previous prime is 11111103253403. The next prime is 11111103253511. The reversal of 11111103253440 is 4435230111111.

11111103253440 is a `hidden beast` number, since 1 + 1 + 11 + 110 + 3 + 2 + 534 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 520488847 + ... + 520510193.

Almost surely, 2^{11111103253440} is an apocalyptic number.

11111103253440 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 11111103253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20265908135616).

11111103253440 is an abundant number, since it is smaller than the sum of its proper divisors (29420713017792).

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

11111103253440 is a wasteful number, since it uses less digits than its factorization.

11111103253440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21886 (or 21867 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 11111103253440 its reverse (4435230111111), we get a palindrome (15546333364551).

The spelling of 11111103253440 in words is "eleven trillion, one hundred eleven billion, one hundred three million, two hundred fifty-three thousand, four hundred forty".