11666722200 has 192 divisors, whose sum is σ = 42342289920. Its totient is φ = 2601600000.

The previous prime is 11666722189. The next prime is 11666722231. The reversal of 11666722200 is 222766611.

It is a super-2 number, since 2×11666722200² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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, 138325 + ... + 206075.

It is an arithmetic number, because the mean of its divisors is an integer number (220532760).

Almost surely, 2^11666722200 is an apocalyptic number.

11666722200 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 11666722200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21171144960).

11666722200 is an abundant number, since it is smaller than the sum of its proper divisors (30675567720).

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

11666722200 is a wasteful number, since it uses less digits than its factorization.

11666722200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67818 (or 67809 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

It can be divided in two parts, 11666 and 722200, that added together give a triangular number (733866 = T₁₂₁₁).

The spelling of 11666722200 in words is "eleven billion, six hundred sixty-six million, seven hundred twenty-two thousand, two hundred".