11103618240 has 1344 divisors, whose sum is σ = 49943308800. Its totient is φ = 2299207680.

The previous prime is 11103618233. The next prime is 11103618241. The reversal of 11103618240 is 4281630111.

It is a happy number.

11103618240 is a `hidden beast` number, since 1 + 1 + 1 + 0 + 3 + 618 + 2 + 40 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11103618241) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 258223659 + ... + 258223701.

It is an arithmetic number, because the mean of its divisors is an integer number (37160200).

Almost surely, 2^11103618240 is an apocalyptic number.

11103618240 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 11103618240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24971654400).

11103618240 is an abundant number, since it is smaller than the sum of its proper divisors (38839690560).

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

11103618240 is a wasteful number, since it uses less digits than its factorization.

11103618240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 11103618240 in words is "eleven billion, one hundred three million, six hundred eighteen thousand, two hundred forty".