11124069603840 has 800 divisors, whose sum is σ = 42279099660864. Its totient is φ = 2785803632640.

The previous prime is 11124069603827. The next prime is 11124069603847. The reversal of 11124069603840 is 4830696042111.

11124069603840 is a `hidden beast` number, since 1 + 11 + 24 + 0 + 6 + 9 + 603 + 8 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (11124069603847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1730830707 + ... + 1730837133.

Almost surely, 2^{11124069603840} is an apocalyptic number.

11124069603840 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 11124069603840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21139549830432).

11124069603840 is an abundant number, since it is smaller than the sum of its proper divisors (31155030057024).

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

11124069603840 is an equidigital number, since it uses as much as digits as its factorization.

11124069603840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6970 (or 6945 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 11124069603840 in words is "eleven trillion, one hundred twenty-four billion, sixty-nine million, six hundred three thousand, eight hundred forty".