11516200704 has 144 divisors (see below), whose sum is σ = 34886910240. Its totient is φ = 3745013760.

The previous prime is 11516200667. The next prime is 11516200733. The reversal of 11516200704 is 40700261511.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 263074 + ... + 303710.

It is an arithmetic number, because the mean of its divisors is an integer number (242270210).

Almost surely, 2^11516200704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11516200704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17443455120).

11516200704 is an abundant number, since it is smaller than the sum of its proper divisors (23370709536).

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

11516200704 is an equidigital number, since it uses as much as digits as its factorization.

11516200704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40703 (or 40683 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The spelling of 11516200704 in words is "eleven billion, five hundred sixteen million, two hundred thousand, seven hundred four".