11223753840 has 240 divisors, whose sum is σ = 41166740160. Its totient is φ = 2723696640.

The previous prime is 11223753829. The next prime is 11223753857. The reversal of 11223753840 is 4835732211.

11223753840 is a `hidden beast` number, since 112 + 2 + 3 + 7 + 538 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 11223753795 and 11223753804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 656116 + ... + 673004.

It is an arithmetic number, because the mean of its divisors is an integer number (171528084).

Almost surely, 2^11223753840 is an apocalyptic number.

11223753840 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 11223753840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20583370080).

11223753840 is an abundant number, since it is smaller than the sum of its proper divisors (29942986320).

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

11223753840 is a wasteful number, since it uses less digits than its factorization.

11223753840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16992 (or 16983 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 11223753840 in words is "eleven billion, two hundred twenty-three million, seven hundred fifty-three thousand, eight hundred forty".