11640208800 has 288 divisors, whose sum is σ = 41511343104. Its totient is φ = 2809728000.

The previous prime is 11640208781. The next prime is 11640208847. The reversal of 11640208800 is 880204611.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7153587 + ... + 7155213.

It is an arithmetic number, because the mean of its divisors is an integer number (144136608).

Almost surely, 2^11640208800 is an apocalyptic number.

11640208800 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 11640208800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20755671552).

11640208800 is an abundant number, since it is smaller than the sum of its proper divisors (29871134304).

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

11640208800 is a wasteful number, since it uses less digits than its factorization.

11640208800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1932 (or 1919 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The spelling of 11640208800 in words is "eleven billion, six hundred forty million, two hundred eight thousand, eight hundred".