11540504000 has 112 divisors (see below), whose sum is σ = 28650529440. Its totient is φ = 4604825600.

The previous prime is 11540503999. The next prime is 11540504021. The reversal of 11540504000 is 40504511.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3734456 + ... + 3737544.

Almost surely, 2^11540504000 is an apocalyptic number.

11540504000 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 11540504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14325264720).

11540504000 is an abundant number, since it is smaller than the sum of its proper divisors (17110025440).

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

11540504000 is an equidigital number, since it uses as much as digits as its factorization.

11540504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3583 (or 3563 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The spelling of 11540504000 in words is "eleven billion, five hundred forty million, five hundred four thousand".