11514540000 has 240 divisors, whose sum is σ = 38657025792. Its totient is φ = 2998464000.

The previous prime is 11514539989. The next prime is 11514540001. The reversal of 11514540000 is 4541511.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11514540001) 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 39 ways as a sum of consecutive naturals, for example, 2577769 + ... + 2582231.

Almost surely, 2^11514540000 is an apocalyptic number.

11514540000 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 11514540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19328512896).

11514540000 is an abundant number, since it is smaller than the sum of its proper divisors (27142485792).

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

11514540000 is an equidigital number, since it uses as much as digits as its factorization.

11514540000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4539 (or 4516 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The spelling of 11514540000 in words is "eleven billion, five hundred fourteen million, five hundred forty thousand".