11124915840 has 320 divisors, whose sum is σ = 40334643360. Its totient is φ = 2921453568.

The previous prime is 11124915829. The next prime is 11124915847. The reversal of 11124915840 is 4851942111.

11124915840 is a `hidden beast` number, since 1 + 112 + 491 + 58 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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 = 11124915795 and 11124915804.

It is not an unprimeable number, because it can be changed into a prime (11124915847) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3471679 + ... + 3474881.

Almost surely, 2^11124915840 is an apocalyptic number.

11124915840 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 11124915840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20167321680).

11124915840 is an abundant number, since it is smaller than the sum of its proper divisors (29209727520).

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

11124915840 is an equidigital number, since it uses as much as digits as its factorization.

11124915840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3301 (or 3280 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 11124915840 in words is "eleven billion, one hundred twenty-four million, nine hundred fifteen thousand, eight hundred forty".