11466211680 has 1296 divisors, whose sum is σ = 53644368960. Its totient is φ = 2214051840.

The previous prime is 11466211649. The next prime is 11466211717. The reversal of 11466211680 is 8611266411.

11466211680 is a `hidden beast` number, since 1 + 1 + 466 + 2 + 116 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 145141881 + ... + 145141959.

It is an arithmetic number, because the mean of its divisors is an integer number (41392260).

Almost surely, 2^11466211680 is an apocalyptic number.

11466211680 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 11466211680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26822184480).

11466211680 is an abundant number, since it is smaller than the sum of its proper divisors (42178157280).

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

11466211680 is a wasteful number, since it uses less digits than its factorization.

11466211680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 11466211680 in words is "eleven billion, four hundred sixty-six million, two hundred eleven thousand, six hundred eighty".