11504032128 has 192 divisors, whose sum is σ = 34443274320. Its totient is φ = 3822059520.

The previous prime is 11504032103. The next prime is 11504032129. The reversal of 11504032128 is 82123040511.

11504032128 is a `hidden beast` number, since 1 + 1 + 504 + 0 + 32 + 128 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11504032129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17946688 + ... + 17947328.

Almost surely, 2^11504032128 is an apocalyptic number.

11504032128 is a gapful number since it is divisible by the number (18) 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 11504032128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17221637160).

11504032128 is an abundant number, since it is smaller than the sum of its proper divisors (22939242192).

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

11504032128 is an frugal number, since it uses more digits than its factorization.

11504032128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 11504032128 its reverse (82123040511), we get a palindrome (93627072639).

The spelling of 11504032128 in words is "eleven billion, five hundred four million, thirty-two thousand, one hundred twenty-eight".