11663564800 has 84 divisors (see below), whose sum is σ = 28924383096. Its totient is φ = 4665344000.

The previous prime is 11663564743. The next prime is 11663564807. The reversal of 11663564800 is 846536611.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11663564807) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 176325 + ... + 233275.

It is an arithmetic number, because the mean of its divisors is an integer number (344337894).

Almost surely, 2^11663564800 is an apocalyptic number.

11663564800 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 11663564800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14462191548).

11663564800 is an abundant number, since it is smaller than the sum of its proper divisors (17260818296).

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

11663564800 is an frugal number, since it uses more digits than its factorization.

11663564800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56987 (or 56958 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The spelling of 11663564800 in words is "eleven billion, six hundred sixty-three million, five hundred sixty-four thousand, eight hundred".