11419128504 has 384 divisors, whose sum is σ = 39009484800. Its totient is φ = 2945859840.

The previous prime is 11419128503. The next prime is 11419128529. The reversal of 11419128504 is 40582191411.

11419128504 is a `hidden beast` number, since 1 + 1 + 41 + 91 + 28 + 504 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11419128503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15451767 + ... + 15452505.

It is an arithmetic number, because the mean of its divisors is an integer number (101587200).

Almost surely, 2^11419128504 is an apocalyptic number.

11419128504 is a gapful number since it is divisible by the number (14) 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 11419128504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19504742400).

11419128504 is an abundant number, since it is smaller than the sum of its proper divisors (27590356296).

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

11419128504 is a wasteful number, since it uses less digits than its factorization.

11419128504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855 (or 848 counting only the distinct ones).

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

The spelling of 11419128504 in words is "eleven billion, four hundred nineteen million, one hundred twenty-eight thousand, five hundred four".