11666220800 has 216 divisors, whose sum is σ = 31270134000. Its totient is φ = 4283596800.

The previous prime is 11666220773. The next prime is 11666220803. The reversal of 11666220800 is 802266611.

It is a super-2 number, since 2×11666220800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11666220803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23378951 + ... + 23379449.

Almost surely, 2^11666220800 is an apocalyptic number.

11666220800 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 11666220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15635067000).

11666220800 is an abundant number, since it is smaller than the sum of its proper divisors (19603913200).

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

11666220800 is a wasteful number, since it uses less digits than its factorization.

11666220800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The spelling of 11666220800 in words is "eleven billion, six hundred sixty-six million, two hundred twenty thousand, eight hundred".