11668186080 has 240 divisors, whose sum is σ = 41583525984. Its totient is φ = 3080954880.

The previous prime is 11668186073. The next prime is 11668186091. The reversal of 11668186080 is 8068186611.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×11668186080² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1330510 + ... + 1339250.

Almost surely, 2^11668186080 is an apocalyptic number.

11668186080 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 11668186080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20791762992).

11668186080 is an abundant number, since it is smaller than the sum of its proper divisors (29915339904).

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

11668186080 is a wasteful number, since it uses less digits than its factorization.

11668186080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8871 (or 8854 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 11668186080 in words is "eleven billion, six hundred sixty-eight million, one hundred eighty-six thousand, eighty".