11691416800 has 288 divisors, whose sum is σ = 34845769728. Its totient is φ = 3739115520.

The previous prime is 11691416791. The next prime is 11691416801. The reversal of 11691416800 is 861419611.

It is a self number, because there is not a number n which added to its sum of digits gives 11691416800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11691416801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12089917 + ... + 12090883.

It is an arithmetic number, because the mean of its divisors is an integer number (120992256).

Almost surely, 2^11691416800 is an apocalyptic number.

11691416800 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 11691416800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17422884864).

11691416800 is an abundant number, since it is smaller than the sum of its proper divisors (23154352928).

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

11691416800 is a wasteful number, since it uses less digits than its factorization.

11691416800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 37.

The spelling of 11691416800 in words is "eleven billion, six hundred ninety-one million, four hundred sixteen thousand, eight hundred".