11516140000 has 120 divisors (see below), whose sum is σ = 29998872288. Its totient is φ = 4335360000.

The previous prime is 11516139961. The next prime is 11516140019. The reversal of 11516140000 is 4161511.

11516140000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 11516140000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 323065 + ... + 356935.

Almost surely, 2^11516140000 is an apocalyptic number.

11516140000 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 11516140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14999436144).

11516140000 is an abundant number, since it is smaller than the sum of its proper divisors (18482732288).

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

11516140000 is an equidigital number, since it uses as much as digits as its factorization.

11516140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33918 (or 33895 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 19.

The spelling of 11516140000 in words is "eleven billion, five hundred sixteen million, one hundred forty thousand".