11124719091000 has 384 divisors, whose sum is σ = 39487866163200. Its totient is φ = 2929034908800.

The previous prime is 11124719090923. The next prime is 11124719091019. The reversal of 11124719091000 is 19091742111.

It is a happy number.

11124719091000 is a `hidden beast` number, since 1 + 1 + 12 + 471 + 90 + 91 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18907249 + ... + 19486751.

It is an arithmetic number, because the mean of its divisors is an integer number (102832984800).

Almost surely, 2^{11124719091000} is an apocalyptic number.

11124719091000 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 11124719091000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19743933081600).

11124719091000 is an abundant number, since it is smaller than the sum of its proper divisors (28363147072200).

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

11124719091000 is an equidigital number, since it uses as much as digits as its factorization.

11124719091000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579618 (or 579592 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 36.

The spelling of 11124719091000 in words is "eleven trillion, one hundred twenty-four billion, seven hundred nineteen million, ninety-one thousand".