11504039904 has 384 divisors, whose sum is σ = 40547727360. Its totient is φ = 3140881920.

The previous prime is 11504039887. The next prime is 11504039909. The reversal of 11504039904 is 40993040511.

It is a happy number.

It is a super-2 number, since 2×11504039904² (a number of 21 digits) contains 22 as substring.

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 (11504039909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11266914 + ... + 11267934.

It is an arithmetic number, because the mean of its divisors is an integer number (105593040).

Almost surely, 2^11504039904 is an apocalyptic number.

11504039904 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 11504039904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20273863680).

11504039904 is an abundant number, since it is smaller than the sum of its proper divisors (29043687456).

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

11504039904 is an equidigital number, since it uses as much as digits as its factorization.

11504039904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 11504039904 in words is "eleven billion, five hundred four million, thirty-nine thousand, nine hundred four".